Well, it's decidedly Irish to me, first and foremost. Other than that, nothing too specific. I think
Patrick is a pretty versatile name, quite handsome as well. The nickname
Pat, however, makes me think of an older dad-guy. Which, by the way, isn't a bad thing.
I probably could never use it because my nieces are so into Spongebob, they find the name
Patrick kind of dim and comical. Hrrm.
I think I like
Pádraig slightly more, but it's likely unusable unless you're Irish or live in a place where Irish is recognizable.