It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 167 is not a prime number.
For example, 397 167 can be divided by 3: 397 167 / 3 = 132 389.
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For 397 167 to be a prime number, it would have been required that 397 167 has only two divisors, i.e., itself and 1.
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397 167 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 397 167 is about 630.212.
Thus, the square root of 397 167 is not an integer, and therefore 397 167 is not a square number.
The square of a number (here 397 167) is the result of the product of this number (397 167) by itself (i.e., 397 167 × 397 167); the square of 397 167 is sometimes called "raising 397 167 to the power 2", or "397 167 squared".
The square of 397 167 is 157 741 625 889 because 397 167 × 397 167 = 397 1672 = 157 741 625 889.
As a consequence, 397 167 is the square root of 157 741 625 889.
The multiples of 397 167 are all integers evenly divisible by 397 167, that is all numbers such that the remainder of the division by 397 167 is zero. There are infinitely many multiples of 397 167. The smallest multiples of 397 167 are: