Meaning of “Natsui(なつい)”
“Natsui(なつい)” is an abstraction for “Natsukashii(なつかしい)” which means nostalgic or memories, kind of.
Example Conversation
A: Look, look! Do you remember this?
B: Wow, I had that when I was in elementary school! So “Natsui(なつい)”!
A: みてみて!これ覚えてる?
B: うわー、小学生の時に持ってた!なついなぁ。

