It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 423 397 is not a prime number.
For example, 423 397 can be divided by 13: 423 397 / 13 = 32 569.
For 423 397 to be a prime number, it would have been required that 423 397 has only two divisors, i.e., itself and 1.
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423 397 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 423 397 is about 650.690.
Thus, the square root of 423 397 is not an integer, and therefore 423 397 is not a square number.
The square of a number (here 423 397) is the result of the product of this number (423 397) by itself (i.e., 423 397 × 423 397); the square of 423 397 is sometimes called "raising 423 397 to the power 2", or "423 397 squared".
The square of 423 397 is 179 265 019 609 because 423 397 × 423 397 = 423 3972 = 179 265 019 609.
As a consequence, 423 397 is the square root of 179 265 019 609.
The multiples of 423 397 are all integers evenly divisible by 423 397, that is all numbers such that the remainder of the division by 423 397 is zero. There are infinitely many multiples of 423 397. The smallest multiples of 423 397 are: