Well... I feel like some numbers are weirder than others. For example, I really like the numbers 24 and 25, but 23 just feels wrong. 22 is okay, I guess, but 21 is better. See? But I'm a math teacher, so I interact with numbers much more than your average person. As a result, I've formed some opinions :)
Once you get into more advanced mathematics, yes. Imaginary numbers are square roots of negative numbers... but stranger still, normally you need to multiply a number by zero to have a result of zero, but there are some examples of a kind of number called a sedenion (a 16-dimensional number) that multiplied together total zero.
I googled sedenions, ended up reading about abstract algebra, locked my phone when I reached my destination, started working etc. 7 hours later, I just realised I had forgot about the lesson and left it in the middle, started all over, and clicked again for the comments when I reached the "weird number" phrase. And here we go again :)