It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 516 397 is not a prime number.
For example, 516 397 can be divided by 7: 516 397 / 7 = 73 771.
For 516 397 to be a prime number, it would have been required that 516 397 has only two divisors, i.e., itself and 1.
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516 397 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 516 397 is about 718.608.
Thus, the square root of 516 397 is not an integer, and therefore 516 397 is not a square number.
The square of a number (here 516 397) is the result of the product of this number (516 397) by itself (i.e., 516 397 × 516 397); the square of 516 397 is sometimes called "raising 516 397 to the power 2", or "516 397 squared".
The square of 516 397 is 266 665 861 609 because 516 397 × 516 397 = 516 3972 = 266 665 861 609.
As a consequence, 516 397 is the square root of 266 665 861 609.
The multiples of 516 397 are all integers evenly divisible by 516 397, that is all numbers such that the remainder of the division by 516 397 is zero. There are infinitely many multiples of 516 397. The smallest multiples of 516 397 are: