It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 658 is not a prime number.
For example, 397 658 can be divided by 2: 397 658 / 2 = 198 829.
For 397 658 to be a prime number, it would have been required that 397 658 has only two divisors, i.e., itself and 1.
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397 658 is an even number, because it is evenly divisible by 2: 397 658 / 2 = 198 829.
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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 397 658 is about 630.601.
Thus, the square root of 397 658 is not an integer, and therefore 397 658 is not a square number.
The square of a number (here 397 658) is the result of the product of this number (397 658) by itself (i.e., 397 658 × 397 658); the square of 397 658 is sometimes called "raising 397 658 to the power 2", or "397 658 squared".
The square of 397 658 is 158 131 884 964 because 397 658 × 397 658 = 397 6582 = 158 131 884 964.
As a consequence, 397 658 is the square root of 158 131 884 964.
The multiples of 397 658 are all integers evenly divisible by 397 658, that is all numbers such that the remainder of the division by 397 658 is zero. There are infinitely many multiples of 397 658. The smallest multiples of 397 658 are: