It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 27 692 is not a prime number.
For example, 27 692 can be divided by 2: 27 692 / 2 = 13 846.
For 27 692 to be a prime number, it would have been required that 27 692 has only two divisors, i.e., itself and 1.
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27 692 is an even number, because it is evenly divisible by 2: 27 692 / 2 = 13 846.
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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 27 692 is about 166.409.
Thus, the square root of 27 692 is not an integer, and therefore 27 692 is not a square number.
The square of a number (here 27 692) is the result of the product of this number (27 692) by itself (i.e., 27 692 × 27 692); the square of 27 692 is sometimes called "raising 27 692 to the power 2", or "27 692 squared".
The square of 27 692 is 766 846 864 because 27 692 × 27 692 = 27 6922 = 766 846 864.
As a consequence, 27 692 is the square root of 766 846 864.
The multiples of 27 692 are all integers evenly divisible by 27 692, that is all numbers such that the remainder of the division by 27 692 is zero. There are infinitely many multiples of 27 692. The smallest multiples of 27 692 are: