It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 677 is not a prime number.
For example, 397 677 can be divided by 3: 397 677 / 3 = 132 559.
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For 397 677 to be a prime number, it would have been required that 397 677 has only two divisors, i.e., itself and 1.
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397 677 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 397 677 is about 630.616.
Thus, the square root of 397 677 is not an integer, and therefore 397 677 is not a square number.
The square of a number (here 397 677) is the result of the product of this number (397 677) by itself (i.e., 397 677 × 397 677); the square of 397 677 is sometimes called "raising 397 677 to the power 2", or "397 677 squared".
The square of 397 677 is 158 146 996 329 because 397 677 × 397 677 = 397 6772 = 158 146 996 329.
As a consequence, 397 677 is the square root of 158 146 996 329.
The multiples of 397 677 are all integers evenly divisible by 397 677, that is all numbers such that the remainder of the division by 397 677 is zero. There are infinitely many multiples of 397 677. The smallest multiples of 397 677 are: