It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 634 627 is not a prime number.
For example, 634 627 can be divided by 7: 634 627 / 7 = 90 661.
For 634 627 to be a prime number, it would have been required that 634 627 has only two divisors, i.e., itself and 1.
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634 627 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 634 627 is about 796.635.
Thus, the square root of 634 627 is not an integer, and therefore 634 627 is not a square number.
The square of a number (here 634 627) is the result of the product of this number (634 627) by itself (i.e., 634 627 × 634 627); the square of 634 627 is sometimes called "raising 634 627 to the power 2", or "634 627 squared".
The square of 634 627 is 402 751 429 129 because 634 627 × 634 627 = 634 6272 = 402 751 429 129.
As a consequence, 634 627 is the square root of 402 751 429 129.
The multiples of 634 627 are all integers evenly divisible by 634 627, that is all numbers such that the remainder of the division by 634 627 is zero. There are infinitely many multiples of 634 627. The smallest multiples of 634 627 are: