It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 264 609 is not a prime number.
For example, 264 609 can be divided by 3: 264 609 / 3 = 88 203.
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For 264 609 to be a prime number, it would have been required that 264 609 has only two divisors, i.e., itself and 1.
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264 609 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 264 609 is about 514.402.
Thus, the square root of 264 609 is not an integer, and therefore 264 609 is not a square number.
The square of a number (here 264 609) is the result of the product of this number (264 609) by itself (i.e., 264 609 × 264 609); the square of 264 609 is sometimes called "raising 264 609 to the power 2", or "264 609 squared".
The square of 264 609 is 70 017 922 881 because 264 609 × 264 609 = 264 6092 = 70 017 922 881.
As a consequence, 264 609 is the square root of 70 017 922 881.
The multiples of 264 609 are all integers evenly divisible by 264 609, that is all numbers such that the remainder of the division by 264 609 is zero. There are infinitely many multiples of 264 609. The smallest multiples of 264 609 are: