It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 629 is not a prime number.
For example, 397 629 can be divided by 3: 397 629 / 3 = 132 543.
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For 397 629 to be a prime number, it would have been required that 397 629 has only two divisors, i.e., itself and 1.
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397 629 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 397 629 is about 630.578.
Thus, the square root of 397 629 is not an integer, and therefore 397 629 is not a square number.
The square of a number (here 397 629) is the result of the product of this number (397 629) by itself (i.e., 397 629 × 397 629); the square of 397 629 is sometimes called "raising 397 629 to the power 2", or "397 629 squared".
The square of 397 629 is 158 108 821 641 because 397 629 × 397 629 = 397 6292 = 158 108 821 641.
As a consequence, 397 629 is the square root of 158 108 821 641.
The multiples of 397 629 are all integers evenly divisible by 397 629, that is all numbers such that the remainder of the division by 397 629 is zero. There are infinitely many multiples of 397 629. The smallest multiples of 397 629 are: