It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 107 is not a prime number.
For example, 397 107 can be divided by 3: 397 107 / 3 = 132 369.
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For 397 107 to be a prime number, it would have been required that 397 107 has only two divisors, i.e., itself and 1.
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397 107 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 397 107 is about 630.164.
Thus, the square root of 397 107 is not an integer, and therefore 397 107 is not a square number.
The square of a number (here 397 107) is the result of the product of this number (397 107) by itself (i.e., 397 107 × 397 107); the square of 397 107 is sometimes called "raising 397 107 to the power 2", or "397 107 squared".
The square of 397 107 is 157 693 969 449 because 397 107 × 397 107 = 397 1072 = 157 693 969 449.
As a consequence, 397 107 is the square root of 157 693 969 449.
The multiples of 397 107 are all integers evenly divisible by 397 107, that is all numbers such that the remainder of the division by 397 107 is zero. There are infinitely many multiples of 397 107. The smallest multiples of 397 107 are: