It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 33 973 is not a prime number.
For example, 33 973 can be divided by 53: 33 973 / 53 = 641.
For 33 973 to be a prime number, it would have been required that 33 973 has only two divisors, i.e., itself and 1.
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33 973 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 33 973 is about 184.318.
Thus, the square root of 33 973 is not an integer, and therefore 33 973 is not a square number.
The square of a number (here 33 973) is the result of the product of this number (33 973) by itself (i.e., 33 973 × 33 973); the square of 33 973 is sometimes called "raising 33 973 to the power 2", or "33 973 squared".
The square of 33 973 is 1 154 164 729 because 33 973 × 33 973 = 33 9732 = 1 154 164 729.
As a consequence, 33 973 is the square root of 1 154 164 729.
The multiples of 33 973 are all integers evenly divisible by 33 973, that is all numbers such that the remainder of the division by 33 973 is zero. There are infinitely many multiples of 33 973. The smallest multiples of 33 973 are: