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Note 7 - Deposits (Details Textual) - USD ($) $ in Thousands	Dec. 31, 2023	Dec. 31, 2022
Time Deposits, at or Above FDIC Insurance Limit	$ 28,800	$ 18,800
Brokered Deposits	$ 3,900	$ 556

X

- Definition

The carrying values of brokered deposits.

+ References

No definition available.

+ Details

Name:	fxnc_BrokeredDeposits
Namespace Prefix:	fxnc_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Amount of time deposit liabilities, including certificates of deposit, in denominations that meet or exceed the Federal Deposit Insurance Corporation (FDIC) insurance limit.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-SubTopic 405
-Topic 942
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147481047/942-405-50-1

+ Details

Name:	us-gaap_TimeDepositsAtOrAboveFDICInsuranceLimit
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant