Numbers can be classified in many ways

odd,even

prime, composite

real, imaginary

rational, irrational

positive, negative, (zero)

square,

triangular

integers

cardinal numbers,

decimals,

fractions,

The list goes on and on.  

Yes. There is prime, composite, odd, and even numbers like a square. Hope that helps!

Definition below from a website so you can understand more.

Composite Number
A whole number that can be divided evenly by numbers other than 1 or itself. Example: 9 can be divided evenly by 3 (as well as 1 and 9), so 9 is a composite number. But 7 cannot be divided evenly (except by 1 and 7), so is NOT a composite number (it is a prime number). Whole numbers above 1 are either composite or prime.

No, there are no numbers such as prefect squares but perfect squares

Defination of perfect sqares= A perfect square is a number that can be expressed as the product of two equal intergers!

i hope this helps!

Thats pretty much Melody!