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PREMISES AND EQUIPMENT - Additional Information (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Mar. 31, 2021 | Mar. 31, 2020 | Mar. 31, 2019
PREMISES AND EQUIPMENT |  |  |
Depreciation and amortization expense | $ 1.4 | $ 1.3 | $ 1.1

X
- Definition Represents the depreciation expense for Premises and Equipment during the indicated period. + References No definition available. + Details
Name: | rvsb_PremisesAndEquipmentDepreciationExpense
Namespace Prefix: | rvsb_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- References No definition available. + Details
Name: | us-gaap_PropertyPlantAndEquipmentAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration