It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 467 509 is not a prime number.
For example, 467 509 can be divided by 7: 467 509 / 7 = 66 787.
For 467 509 to be a prime number, it would have been required that 467 509 has only two divisors, i.e., itself and 1.
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467 509 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 467 509 is about 683.746.
Thus, the square root of 467 509 is not an integer, and therefore 467 509 is not a square number.
The square of a number (here 467 509) is the result of the product of this number (467 509) by itself (i.e., 467 509 × 467 509); the square of 467 509 is sometimes called "raising 467 509 to the power 2", or "467 509 squared".
The square of 467 509 is 218 564 665 081 because 467 509 × 467 509 = 467 5092 = 218 564 665 081.
As a consequence, 467 509 is the square root of 218 564 665 081.
The multiples of 467 509 are all integers evenly divisible by 467 509, that is all numbers such that the remainder of the division by 467 509 is zero. There are infinitely many multiples of 467 509. The smallest multiples of 467 509 are: