It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 689 is not a prime number.
For example, 397 689 can be divided by 3: 397 689 / 3 = 132 563.
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For 397 689 to be a prime number, it would have been required that 397 689 has only two divisors, i.e., itself and 1.
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397 689 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 397 689 is about 630.626.
Thus, the square root of 397 689 is not an integer, and therefore 397 689 is not a square number.
The square of a number (here 397 689) is the result of the product of this number (397 689) by itself (i.e., 397 689 × 397 689); the square of 397 689 is sometimes called "raising 397 689 to the power 2", or "397 689 squared".
The square of 397 689 is 158 156 540 721 because 397 689 × 397 689 = 397 6892 = 158 156 540 721.
As a consequence, 397 689 is the square root of 158 156 540 721.
The multiples of 397 689 are all integers evenly divisible by 397 689, that is all numbers such that the remainder of the division by 397 689 is zero. There are infinitely many multiples of 397 689. The smallest multiples of 397 689 are: