You can interchange 'unusual' or 'interesting'. "That's an unusual/interesting name". I would tend to use 'unusual' if what intrigued me was 'how different' the name is. I would tend to use 'interesting' if the name simply intrigued or stirred my interest.

I think you need to be more specific, and your description needs to be specific as well. Interesting how? Does it have an interesting sound? Does it have some historical significance?