It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 997 351 is not a prime number.
For example, 997 351 can be divided by 613: 997 351 / 613 = 1 627.
For 997 351 to be a prime number, it would have been required that 997 351 has only two divisors, i.e., itself and 1.
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997 351 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 997 351 is about 998.675.
Thus, the square root of 997 351 is not an integer, and therefore 997 351 is not a square number.
The square of a number (here 997 351) is the result of the product of this number (997 351) by itself (i.e., 997 351 × 997 351); the square of 997 351 is sometimes called "raising 997 351 to the power 2", or "997 351 squared".
The square of 997 351 is 994 709 017 201 because 997 351 × 997 351 = 997 3512 = 994 709 017 201.
As a consequence, 997 351 is the square root of 994 709 017 201.
The multiples of 997 351 are all integers evenly divisible by 997 351, that is all numbers such that the remainder of the division by 997 351 is zero. There are infinitely many multiples of 997 351. The smallest multiples of 997 351 are: