It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 667 is not a prime number.
For example, 509 667 can be divided by 3: 509 667 / 3 = 169 889.
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For 509 667 to be a prime number, it would have been required that 509 667 has only two divisors, i.e., itself and 1.
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509 667 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 509 667 is about 713.910.
Thus, the square root of 509 667 is not an integer, and therefore 509 667 is not a square number.
The square of a number (here 509 667) is the result of the product of this number (509 667) by itself (i.e., 509 667 × 509 667); the square of 509 667 is sometimes called "raising 509 667 to the power 2", or "509 667 squared".
The square of 509 667 is 259 760 450 889 because 509 667 × 509 667 = 509 6672 = 259 760 450 889.
As a consequence, 509 667 is the square root of 259 760 450 889.
The multiples of 509 667 are all integers evenly divisible by 509 667, that is all numbers such that the remainder of the division by 509 667 is zero. There are infinitely many multiples of 509 667. The smallest multiples of 509 667 are: