It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 637 501 is not a prime number.
For example, 637 501 can be divided by 769: 637 501 / 769 = 829.
For 637 501 to be a prime number, it would have been required that 637 501 has only two divisors, i.e., itself and 1.
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637 501 is an odd number, because it is not evenly divisible by 2.
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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 637 501 is about 798.437.
Thus, the square root of 637 501 is not an integer, and therefore 637 501 is not a square number.
The square of a number (here 637 501) is the result of the product of this number (637 501) by itself (i.e., 637 501 × 637 501); the square of 637 501 is sometimes called "raising 637 501 to the power 2", or "637 501 squared".
The square of 637 501 is 406 407 525 001 because 637 501 × 637 501 = 637 5012 = 406 407 525 001.
As a consequence, 637 501 is the square root of 406 407 525 001.
The multiples of 637 501 are all integers evenly divisible by 637 501, that is all numbers such that the remainder of the division by 637 501 is zero. There are infinitely many multiples of 637 501. The smallest multiples of 637 501 are: