It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 394 397 is not a prime number.
For example, 394 397 can be divided by 521: 394 397 / 521 = 757.
For 394 397 to be a prime number, it would have been required that 394 397 has only two divisors, i.e., itself and 1.
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394 397 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 394 397 is about 628.010.
Thus, the square root of 394 397 is not an integer, and therefore 394 397 is not a square number.
The square of a number (here 394 397) is the result of the product of this number (394 397) by itself (i.e., 394 397 × 394 397); the square of 394 397 is sometimes called "raising 394 397 to the power 2", or "394 397 squared".
The square of 394 397 is 155 548 993 609 because 394 397 × 394 397 = 394 3972 = 155 548 993 609.
As a consequence, 394 397 is the square root of 155 548 993 609.
The multiples of 394 397 are all integers evenly divisible by 394 397, that is all numbers such that the remainder of the division by 394 397 is zero. There are infinitely many multiples of 394 397. The smallest multiples of 394 397 are: