It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 398 971 is not a prime number.
For example, 398 971 can be divided by 37: 398 971 / 37 = 10 783.
For 398 971 to be a prime number, it would have been required that 398 971 has only two divisors, i.e., itself and 1.
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398 971 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 398 971 is about 631.642.
Thus, the square root of 398 971 is not an integer, and therefore 398 971 is not a square number.
The square of a number (here 398 971) is the result of the product of this number (398 971) by itself (i.e., 398 971 × 398 971); the square of 398 971 is sometimes called "raising 398 971 to the power 2", or "398 971 squared".
The square of 398 971 is 159 177 858 841 because 398 971 × 398 971 = 398 9712 = 159 177 858 841.
As a consequence, 398 971 is the square root of 159 177 858 841.
The multiples of 398 971 are all integers evenly divisible by 398 971, that is all numbers such that the remainder of the division by 398 971 is zero. There are infinitely many multiples of 398 971. The smallest multiples of 398 971 are: