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Note 1 - Summary of Significant Accounting Policies (Details Textual)
12 Months Ended
Dec. 31, 2019
USD ($)
Lease
$ / shares
shares
Dec. 31, 2018
USD ($)
$ / shares
Dec. 31, 2017
USD ($)
$ / shares
Summary of Significant Accounting Policies [Line Items]      
Restricted investment in stocks $ 1,073,000 $ 797,000  
Other than temporary impairment charge of restricted investment $ 0    
Lease option to extend description QNB typically enters into lease agreements with an initial term of 5 to 10 years and subsequent additional optional terms in increments of 5 years.    
Lease option to terminate description The lease agreements also contain termination options. None of the leases contain purchase options and none transfer the ownership of the leased asset.    
Number of operating lease renewed | Lease 1    
Number of new operating lease renewed | Lease 2    
Lease agreement subsequent additional optional term in increments 5 years    
Lease agreement option to extend on increments true    
Lease option to terminate true    
Other Postretirement Benefit Expense $ 59,000 53,000 $ 23,000
Allocated Share-based Compensation Expense 118,000 117,000 102,000
Employee service Share-based compensation, tax benefit from nonqualified compensation expense and disqualifying dispositions $ 7,000 $ 10,000 $ 19,000
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value (in Dollars per share) | $ / shares $ 3.96 $ 5.29 $ 3.88
Unrecognized Tax Benefits $ 0    
Interest accrued 0    
Penalties expense $ 2,000    
Tax years subject to examination by tax authorities   2016  
Minimum [Member]      
Summary of Significant Accounting Policies [Line Items]      
Lease agreements initial terms 5 years    
Lease agreement subsequent additional optional term in increments 5 years    
Maximum [Member]      
Summary of Significant Accounting Policies [Line Items]      
Lease agreements initial terms 10 years    
Lease agreement subsequent additional optional term in increments 10 years    
Other Assets [Member]      
Summary of Significant Accounting Policies [Line Items]      
Other Real Estate, Foreclosed Assets, and Repossessed Assets $ 0 $ 0  
Investment in Federal Home Loan Bank Stock [Member]      
Summary of Significant Accounting Policies [Line Items]      
Restricted investment in stocks 1,061,000    
Investment in Atlantic Community Bankers Bank Stock [Member]      
Summary of Significant Accounting Policies [Line Items]      
Restricted investment in stocks 12,000    
VISA Class B Stock [Member]      
Summary of Significant Accounting Policies [Line Items]      
Restricted investment in stocks $ 0    
Number of shares owned | shares 6,502    
VISA Class A Stock [Member]      
Summary of Significant Accounting Policies [Line Items]      
Conversion factor per share 1.6298