It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 138 is not a prime number.
For example, 397 138 can be divided by 2: 397 138 / 2 = 198 569.
For 397 138 to be a prime number, it would have been required that 397 138 has only two divisors, i.e., itself and 1.
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397 138 is an even number, because it is evenly divisible by 2: 397 138 / 2 = 198 569.
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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 397 138 is about 630.189.
Thus, the square root of 397 138 is not an integer, and therefore 397 138 is not a square number.
The square of a number (here 397 138) is the result of the product of this number (397 138) by itself (i.e., 397 138 × 397 138); the square of 397 138 is sometimes called "raising 397 138 to the power 2", or "397 138 squared".
The square of 397 138 is 157 718 591 044 because 397 138 × 397 138 = 397 1382 = 157 718 591 044.
As a consequence, 397 138 is the square root of 157 718 591 044.
The multiples of 397 138 are all integers evenly divisible by 397 138, that is all numbers such that the remainder of the division by 397 138 is zero. There are infinitely many multiples of 397 138. The smallest multiples of 397 138 are: