It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 36 006 is not a prime number.
For example, 36 006 can be divided by 2: 36 006 / 2 = 18 003.
For 36 006 to be a prime number, it would have been required that 36 006 has only two divisors, i.e., itself and 1.
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36 006 is an even number, because it is evenly divisible by 2: 36 006 / 2 = 18 003.
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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 36 006 is about 189.752.
Thus, the square root of 36 006 is not an integer, and therefore 36 006 is not a square number.
The square of a number (here 36 006) is the result of the product of this number (36 006) by itself (i.e., 36 006 × 36 006); the square of 36 006 is sometimes called "raising 36 006 to the power 2", or "36 006 squared".
The square of 36 006 is 1 296 432 036 because 36 006 × 36 006 = 36 0062 = 1 296 432 036.
As a consequence, 36 006 is the square root of 1 296 432 036.
The multiples of 36 006 are all integers evenly divisible by 36 006, that is all numbers such that the remainder of the division by 36 006 is zero. There are infinitely many multiples of 36 006. The smallest multiples of 36 006 are: