It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 17 664 is not a prime number.
For example, 17 664 can be divided by 2: 17 664 / 2 = 8 832.
For 17 664 to be a prime number, it would have been required that 17 664 has only two divisors, i.e., itself and 1.
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17 664 is an even number, because it is evenly divisible by 2: 17 664 / 2 = 8 832.
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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 17 664 is about 132.906.
Thus, the square root of 17 664 is not an integer, and therefore 17 664 is not a square number.
The square of a number (here 17 664) is the result of the product of this number (17 664) by itself (i.e., 17 664 × 17 664); the square of 17 664 is sometimes called "raising 17 664 to the power 2", or "17 664 squared".
The square of 17 664 is 312 016 896 because 17 664 × 17 664 = 17 6642 = 312 016 896.
As a consequence, 17 664 is the square root of 312 016 896.
The multiples of 17 664 are all integers evenly divisible by 17 664, that is all numbers such that the remainder of the division by 17 664 is zero. There are infinitely many multiples of 17 664. The smallest multiples of 17 664 are: