It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 502 397 is not a prime number.
For example, 502 397 can be divided by 7: 502 397 / 7 = 71 771.
For 502 397 to be a prime number, it would have been required that 502 397 has only two divisors, i.e., itself and 1.
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502 397 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 502 397 is about 708.800.
Thus, the square root of 502 397 is not an integer, and therefore 502 397 is not a square number.
The square of a number (here 502 397) is the result of the product of this number (502 397) by itself (i.e., 502 397 × 502 397); the square of 502 397 is sometimes called "raising 502 397 to the power 2", or "502 397 squared".
The square of 502 397 is 252 402 745 609 because 502 397 × 502 397 = 502 3972 = 252 402 745 609.
As a consequence, 502 397 is the square root of 252 402 745 609.
The multiples of 502 397 are all integers evenly divisible by 502 397, that is all numbers such that the remainder of the division by 502 397 is zero. There are infinitely many multiples of 502 397. The smallest multiples of 502 397 are: