It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 711 is not a prime number.
For example, 397 711 can be divided by 137: 397 711 / 137 = 2 903.
For 397 711 to be a prime number, it would have been required that 397 711 has only two divisors, i.e., itself and 1.
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397 711 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 397 711 is about 630.643.
Thus, the square root of 397 711 is not an integer, and therefore 397 711 is not a square number.
The square of a number (here 397 711) is the result of the product of this number (397 711) by itself (i.e., 397 711 × 397 711); the square of 397 711 is sometimes called "raising 397 711 to the power 2", or "397 711 squared".
The square of 397 711 is 158 174 039 521 because 397 711 × 397 711 = 397 7112 = 158 174 039 521.
As a consequence, 397 711 is the square root of 158 174 039 521.
The multiples of 397 711 are all integers evenly divisible by 397 711, that is all numbers such that the remainder of the division by 397 711 is zero. There are infinitely many multiples of 397 711. The smallest multiples of 397 711 are: