It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 115 509 is not a prime number.
For example, 115 509 can be divided by 3: 115 509 / 3 = 38 503.
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For 115 509 to be a prime number, it would have been required that 115 509 has only two divisors, i.e., itself and 1.
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115 509 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 115 509 is about 339.866.
Thus, the square root of 115 509 is not an integer, and therefore 115 509 is not a square number.
The square of a number (here 115 509) is the result of the product of this number (115 509) by itself (i.e., 115 509 × 115 509); the square of 115 509 is sometimes called "raising 115 509 to the power 2", or "115 509 squared".
The square of 115 509 is 13 342 329 081 because 115 509 × 115 509 = 115 5092 = 13 342 329 081.
As a consequence, 115 509 is the square root of 13 342 329 081.
The multiples of 115 509 are all integers evenly divisible by 115 509, that is all numbers such that the remainder of the division by 115 509 is zero. There are infinitely many multiples of 115 509. The smallest multiples of 115 509 are: