It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 637 564 is not a prime number.
For example, 637 564 can be divided by 2: 637 564 / 2 = 318 782.
For 637 564 to be a prime number, it would have been required that 637 564 has only two divisors, i.e., itself and 1.
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637 564 is an even number, because it is evenly divisible by 2: 637 564 / 2 = 318 782.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 637 564 is about 798.476.
Thus, the square root of 637 564 is not an integer, and therefore 637 564 is not a square number.
The square of a number (here 637 564) is the result of the product of this number (637 564) by itself (i.e., 637 564 × 637 564); the square of 637 564 is sometimes called "raising 637 564 to the power 2", or "637 564 squared".
The square of 637 564 is 406 487 854 096 because 637 564 × 637 564 = 637 5642 = 406 487 854 096.
As a consequence, 637 564 is the square root of 406 487 854 096.
The multiples of 637 564 are all integers evenly divisible by 637 564, that is all numbers such that the remainder of the division by 637 564 is zero. There are infinitely many multiples of 637 564. The smallest multiples of 637 564 are: