It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 97 637 is not a prime number.
For example, 97 637 can be divided by 163: 97 637 / 163 = 599.
For 97 637 to be a prime number, it would have been required that 97 637 has only two divisors, i.e., itself and 1.
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97 637 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 97 637 is about 312.469.
Thus, the square root of 97 637 is not an integer, and therefore 97 637 is not a square number.
The square of a number (here 97 637) is the result of the product of this number (97 637) by itself (i.e., 97 637 × 97 637); the square of 97 637 is sometimes called "raising 97 637 to the power 2", or "97 637 squared".
The square of 97 637 is 9 532 983 769 because 97 637 × 97 637 = 97 6372 = 9 532 983 769.
As a consequence, 97 637 is the square root of 9 532 983 769.
The multiples of 97 637 are all integers evenly divisible by 97 637, that is all numbers such that the remainder of the division by 97 637 is zero. There are infinitely many multiples of 97 637. The smallest multiples of 97 637 are: