It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 27 661 is not a prime number.
For example, 27 661 can be divided by 139: 27 661 / 139 = 199.
For 27 661 to be a prime number, it would have been required that 27 661 has only two divisors, i.e., itself and 1.
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27 661 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 27 661 is about 166.316.
Thus, the square root of 27 661 is not an integer, and therefore 27 661 is not a square number.
The square of a number (here 27 661) is the result of the product of this number (27 661) by itself (i.e., 27 661 × 27 661); the square of 27 661 is sometimes called "raising 27 661 to the power 2", or "27 661 squared".
The square of 27 661 is 765 130 921 because 27 661 × 27 661 = 27 6612 = 765 130 921.
As a consequence, 27 661 is the square root of 765 130 921.
The multiples of 27 661 are all integers evenly divisible by 27 661, that is all numbers such that the remainder of the division by 27 661 is zero. There are infinitely many multiples of 27 661. The smallest multiples of 27 661 are: