It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 997 564 is not a prime number.
For example, 997 564 can be divided by 2: 997 564 / 2 = 498 782.
For 997 564 to be a prime number, it would have been required that 997 564 has only two divisors, i.e., itself and 1.
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997 564 is an even number, because it is evenly divisible by 2: 997 564 / 2 = 498 782.
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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 997 564 is about 998.781.
Thus, the square root of 997 564 is not an integer, and therefore 997 564 is not a square number.
The square of a number (here 997 564) is the result of the product of this number (997 564) by itself (i.e., 997 564 × 997 564); the square of 997 564 is sometimes called "raising 997 564 to the power 2", or "997 564 squared".
The square of 997 564 is 995 133 934 096 because 997 564 × 997 564 = 997 5642 = 995 133 934 096.
As a consequence, 997 564 is the square root of 995 133 934 096.
The multiples of 997 564 are all integers evenly divisible by 997 564, that is all numbers such that the remainder of the division by 997 564 is zero. There are infinitely many multiples of 997 564. The smallest multiples of 997 564 are: