It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 400 637 is not a prime number.
For example, 9 400 637 can be divided by 1 879: 9 400 637 / 1879 = 5 003.
For 9 400 637 to be a prime number, it would have been required that 9 400 637 has only two divisors, i.e., itself and 1.
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9 400 637 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 9 400 637 is about 3 066.046.
Thus, the square root of 9 400 637 is not an integer, and therefore 9 400 637 is not a square number.
The square of a number (here 9 400 637) is the result of the product of this number (9 400 637) by itself (i.e., 9 400 637 × 9 400 637); the square of 9 400 637 is sometimes called "raising 9 400 637 to the power 2", or "9 400 637 squared".
The square of 9 400 637 is 88 371 976 005 769 because 9 400 637 × 9 400 637 = 9 400 6372 = 88 371 976 005 769.
As a consequence, 9 400 637 is the square root of 88 371 976 005 769.
The multiples of 9 400 637 are all integers evenly divisible by 9 400 637, that is all numbers such that the remainder of the division by 9 400 637 is zero. There are infinitely many multiples of 9 400 637. The smallest multiples of 9 400 637 are: