It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 27 642 is not a prime number.
For example, 27 642 can be divided by 2: 27 642 / 2 = 13 821.
For 27 642 to be a prime number, it would have been required that 27 642 has only two divisors, i.e., itself and 1.
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27 642 is an even number, because it is evenly divisible by 2: 27 642 / 2 = 13 821.
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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 27 642 is about 166.259.
Thus, the square root of 27 642 is not an integer, and therefore 27 642 is not a square number.
The square of a number (here 27 642) is the result of the product of this number (27 642) by itself (i.e., 27 642 × 27 642); the square of 27 642 is sometimes called "raising 27 642 to the power 2", or "27 642 squared".
The square of 27 642 is 764 080 164 because 27 642 × 27 642 = 27 6422 = 764 080 164.
As a consequence, 27 642 is the square root of 764 080 164.
The multiples of 27 642 are all integers evenly divisible by 27 642, that is all numbers such that the remainder of the division by 27 642 is zero. There are infinitely many multiples of 27 642. The smallest multiples of 27 642 are: