It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 034 is not a prime number.
For example, 397 034 can be divided by 2: 397 034 / 2 = 198 517.
For 397 034 to be a prime number, it would have been required that 397 034 has only two divisors, i.e., itself and 1.
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397 034 is an even number, because it is evenly divisible by 2: 397 034 / 2 = 198 517.
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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 397 034 is about 630.106.
Thus, the square root of 397 034 is not an integer, and therefore 397 034 is not a square number.
The square of a number (here 397 034) is the result of the product of this number (397 034) by itself (i.e., 397 034 × 397 034); the square of 397 034 is sometimes called "raising 397 034 to the power 2", or "397 034 squared".
The square of 397 034 is 157 635 997 156 because 397 034 × 397 034 = 397 0342 = 157 635 997 156.
As a consequence, 397 034 is the square root of 157 635 997 156.
The multiples of 397 034 are all integers evenly divisible by 397 034, that is all numbers such that the remainder of the division by 397 034 is zero. There are infinitely many multiples of 397 034. The smallest multiples of 397 034 are: