I am not a lawyer, so take it with a grain of salt, but looking at the Mietrechtsgesetz (law of tenancy), § 16b "Kaution", it says that the landlord must deposit the rent deposit into a savings account (or something that has a similar yield, is as secure and separates it from the wealth of the landlord), and yes, assuming there are no damages that need to be paid, it seems the landlord is obliged to return the rent deposit including all interest. Upon request, the landlord must inform you about the savings account in writing. The similar-yield-as-a-savings-account-thing is quite wishy-washy, unfortunately.
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IANAL but this page says yes. There are no fixed rules for how much interest, but the common understanding from previous court cases is that it should be roughly equivalent to the interest you'd get in a savings account.
This link should help.
https://www.oesterreich.gv.at/themen/bauen_wohnen_und_umwelt/wohnen/3/1/Seite.210221.html
Answer to your question:
Yes, the landlord is required to pay back the rent deposit with interest.
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