It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 36 601 is not a prime number.
For example, 36 601 can be divided by 17: 36 601 / 17 = 2 153.
For 36 601 to be a prime number, it would have been required that 36 601 has only two divisors, i.e., itself and 1.
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36 601 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 36 601 is about 191.314.
Thus, the square root of 36 601 is not an integer, and therefore 36 601 is not a square number.
The square of a number (here 36 601) is the result of the product of this number (36 601) by itself (i.e., 36 601 × 36 601); the square of 36 601 is sometimes called "raising 36 601 to the power 2", or "36 601 squared".
The square of 36 601 is 1 339 633 201 because 36 601 × 36 601 = 36 6012 = 1 339 633 201.
As a consequence, 36 601 is the square root of 1 339 633 201.
The multiples of 36 601 are all integers evenly divisible by 36 601, that is all numbers such that the remainder of the division by 36 601 is zero. There are infinitely many multiples of 36 601. The smallest multiples of 36 601 are: