It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 637 721 is not a prime number.
For example, 8 637 721 can be divided by 2 939: 8 637 721 / 2939 = 2 939.
For 8 637 721 to be a prime number, it would have been required that 8 637 721 has only two divisors, i.e., itself and 1.
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8 637 721 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 8 637 721 is 2 939.
Therefore, the square root of 8 637 721 is an integer, and as a consequence 8 637 721 is a perfect square.
The square of a number (here 8 637 721) is the result of the product of this number (8 637 721) by itself (i.e., 8 637 721 × 8 637 721); the square of 8 637 721 is sometimes called "raising 8 637 721 to the power 2", or "8 637 721 squared".
The square of 8 637 721 is 74 610 224 073 841 because 8 637 721 × 8 637 721 = 8 637 7212 = 74 610 224 073 841.
As a consequence, 8 637 721 is the square root of 74 610 224 073 841.
The multiples of 8 637 721 are all integers evenly divisible by 8 637 721, that is all numbers such that the remainder of the division by 8 637 721 is zero. There are infinitely many multiples of 8 637 721. The smallest multiples of 8 637 721 are: