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Benefit Plans - Schedule of Net Funded Status (Detail) - USD ($)
12 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2020
Atlas Bank Retirement Income Plan ("ABRIP") [Member]      
Change in benefit obligation:      
Projected benefit obligation - beginning $ 2,149,000 $ 2,285,000  
Interest cost 62,000 61,000 $ 77,000
Actuarial gain (247,000) (49,000)  
Benefit payments (148,000) (148,000)  
Projected benefit obligation - ending 1,816,000 2,149,000 2,285,000
Change in plan assets:      
Fair value of assets - beginning 3,220,000 3,299,000  
Actual return on assets (165,000) 69,000  
Benefit payments (148,000) (148,000)  
Fair value of assets - ending 2,907,000 3,220,000 3,299,000
Reconciliation of funded status:      
Projected benefit obligation (1,816,000) (2,149,000) (2,285,000)
Fair value of assets - ending 2,907,000 3,220,000 3,299,000
Funded status included in other assets / liabilities 1,091,000 1,071,000  
Accumulated benefit obligation $ (1,816,000) $ (2,149,000)  
Discount rate 4.50% 3.00%  
Benefit Equalization Plan ("BEP") [Member]      
Change in benefit obligation:      
Projected benefit obligation - beginning $ 2,999,000 $ 3,206,000  
Interest cost 86,000 85,000 112,000
Actuarial gain (252,000) (53,000)  
Benefit payments (241,000) (239,000)  
Projected benefit obligation - ending 2,592,000 2,999,000 3,206,000
Change in plan assets:      
Benefit payments (241,000) (239,000)  
Contributions 241,000 239,000 237,000
Reconciliation of funded status:      
Projected benefit obligation (2,592,000) (2,999,000) (3,206,000)
Funded status included in other assets / liabilities (2,592,000) (2,999,000)  
Accumulated benefit obligation $ (2,592,000) $ (2,999,000)  
Discount rate 4.50% 3.00%  
Postretirement Welfare Plan [Member]      
Change in benefit obligation:      
Projected benefit obligation - beginning $ 1,108,000 $ 991,000  
Service cost 116,000 106,000 78,000
Interest cost 33,000 27,000 26,000
Actuarial gain (160,000) (4,000)  
Benefit payments (12,000) (12,000)  
Projected benefit obligation - ending 1,085,000 1,108,000 991,000
Change in plan assets:      
Benefit payments (12,000) (12,000)  
Contributions 12,000 12,000 11,000
Reconciliation of funded status:      
Projected benefit obligation (1,085,000) (1,108,000) (991,000)
Funded status included in other assets / liabilities $ (1,085,000) $ (1,108,000)  
Discount rate 4.50% 3.00%  
Salary increase rate 3.25% 3.25%  
Directors' Consultation and Retirement Plan ("DCRP") [Member]      
Change in benefit obligation:      
Projected benefit obligation - beginning $ 3,116,000 $ 3,269,000  
Interest cost 92,000 89,000 110,000
Actuarial gain (513,000) (173,000)  
Benefit payments (49,000) (69,000)  
Projected benefit obligation - ending 2,646,000 3,116,000 3,269,000
Change in plan assets:      
Benefit payments (49,000) (69,000)  
Contributions 49,000 69,000 60,000
Reconciliation of funded status:      
Projected benefit obligation (2,646,000) (3,116,000) $ (3,269,000)
Funded status included in other assets / liabilities (2,646,000) (3,116,000)  
Accumulated benefit obligation $ (2,646,000) $ (3,116,000)  
Discount rate 4.50% 3.00%  
Supplemental Executive Retirement Plan SERP [Member]      
Change in benefit obligation:      
Projected benefit obligation - beginning $ 0    
Service cost 431,000    
Interest cost 6,000    
Projected benefit obligation - ending 437,000 $ 0  
Reconciliation of funded status:      
Projected benefit obligation (437,000) $ 0  
Funded status included in other assets / liabilities $ (437,000)    
Discount rate 3.00%    
Salary increase rate 4.00%