It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 678 is not a prime number.
For example, 397 678 can be divided by 2: 397 678 / 2 = 198 839.
For 397 678 to be a prime number, it would have been required that 397 678 has only two divisors, i.e., itself and 1.
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397 678 is an even number, because it is evenly divisible by 2: 397 678 / 2 = 198 839.
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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 397 678 is about 630.617.
Thus, the square root of 397 678 is not an integer, and therefore 397 678 is not a square number.
The square of a number (here 397 678) is the result of the product of this number (397 678) by itself (i.e., 397 678 × 397 678); the square of 397 678 is sometimes called "raising 397 678 to the power 2", or "397 678 squared".
The square of 397 678 is 158 147 791 684 because 397 678 × 397 678 = 397 6782 = 158 147 791 684.
As a consequence, 397 678 is the square root of 158 147 791 684.
The multiples of 397 678 are all integers evenly divisible by 397 678, that is all numbers such that the remainder of the division by 397 678 is zero. There are infinitely many multiples of 397 678. The smallest multiples of 397 678 are: