Is DAI a Dao?

I'm curious, is DAI considered a Dao? I've been hearing a lot about decentralized finance and smart contracts, and DAI seems to be a key player in this space. But does it fit the definition of a Dao? I understand DAOs are organizations that are governed by a set of rules encoded on a blockchain, but how does DAI fit into that picture? Is it more of a utility token or does it have governance capabilities like a traditional Dao? I'm trying to wrap my head around this concept and I'm hoping you can clarify this for me.