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9. INTEREST-BEARING DEPOSITS - Interest expense recognized on interest-bearing deposits (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Interest Bearing Deposits [Line Items]      
Interest Expense on Deposit Liabilities $ 1,021us-gaap_InterestExpenseDeposits $ 1,197us-gaap_InterestExpenseDeposits $ 1,610us-gaap_InterestExpenseDeposits
Savings [Member]      
Interest Bearing Deposits [Line Items]      
Interest Expense on Deposit Liabilities 40us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_SavingsDepositsMember
68us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_SavingsDepositsMember
114us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_SavingsDepositsMember
Money Market [Member]      
Interest Bearing Deposits [Line Items]      
Interest Expense on Deposit Liabilities 383us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_MoneyMarketDepositsMember
435us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_MoneyMarketDepositsMember
616us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_MoneyMarketDepositsMember
NOW Accounts [Member]      
Interest Bearing Deposits [Line Items]      
Interest Expense on Deposit Liabilities 36us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_NOWAccountsDepositsMember
40us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_NOWAccountsDepositsMember
42us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_NOWAccountsDepositsMember
Time, $100,000 or more [Member]      
Interest Bearing Deposits [Line Items]      
Interest Expense on Deposit Liabilities 395us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_TimeDepositsMember
446us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_TimeDepositsMember
528us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_TimeDepositsMember
Other Time [Member]      
Interest Bearing Deposits [Line Items]      
Interest Expense on Deposit Liabilities $ 167us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_OtherTimeDepositsMember
$ 208us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_OtherTimeDepositsMember
$ 310us-gaap_InterestExpenseDeposits
/ us-gaap_FairValueByLiabilityClassAxis
= amrb_OtherTimeDepositsMember