It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 330 009 is not a prime number.
For example, 330 009 can be divided by 3: 330 009 / 3 = 110 003.
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For 330 009 to be a prime number, it would have been required that 330 009 has only two divisors, i.e., itself and 1.
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330 009 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 330 009 is about 574.464.
Thus, the square root of 330 009 is not an integer, and therefore 330 009 is not a square number.
The square of a number (here 330 009) is the result of the product of this number (330 009) by itself (i.e., 330 009 × 330 009); the square of 330 009 is sometimes called "raising 330 009 to the power 2", or "330 009 squared".
The square of 330 009 is 108 905 940 081 because 330 009 × 330 009 = 330 0092 = 108 905 940 081.
As a consequence, 330 009 is the square root of 108 905 940 081.
The multiples of 330 009 are all integers evenly divisible by 330 009, that is all numbers such that the remainder of the division by 330 009 is zero. There are infinitely many multiples of 330 009. The smallest multiples of 330 009 are: