It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 171 is not a prime number.
For example, 397 171 can be divided by 17: 397 171 / 17 = 23 363.
For 397 171 to be a prime number, it would have been required that 397 171 has only two divisors, i.e., itself and 1.
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397 171 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 397 171 is about 630.215.
Thus, the square root of 397 171 is not an integer, and therefore 397 171 is not a square number.
The square of a number (here 397 171) is the result of the product of this number (397 171) by itself (i.e., 397 171 × 397 171); the square of 397 171 is sometimes called "raising 397 171 to the power 2", or "397 171 squared".
The square of 397 171 is 157 744 803 241 because 397 171 × 397 171 = 397 1712 = 157 744 803 241.
As a consequence, 397 171 is the square root of 157 744 803 241.
The multiples of 397 171 are all integers evenly divisible by 397 171, that is all numbers such that the remainder of the division by 397 171 is zero. There are infinitely many multiples of 397 171. The smallest multiples of 397 171 are: