It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 330 309 is not a prime number.
For example, 330 309 can be divided by 3: 330 309 / 3 = 110 103.
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For 330 309 to be a prime number, it would have been required that 330 309 has only two divisors, i.e., itself and 1.
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330 309 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 330 309 is about 574.725.
Thus, the square root of 330 309 is not an integer, and therefore 330 309 is not a square number.
The square of a number (here 330 309) is the result of the product of this number (330 309) by itself (i.e., 330 309 × 330 309); the square of 330 309 is sometimes called "raising 330 309 to the power 2", or "330 309 squared".
The square of 330 309 is 109 104 035 481 because 330 309 × 330 309 = 330 3092 = 109 104 035 481.
As a consequence, 330 309 is the square root of 109 104 035 481.
The multiples of 330 309 are all integers evenly divisible by 330 309, that is all numbers such that the remainder of the division by 330 309 is zero. There are infinitely many multiples of 330 309. The smallest multiples of 330 309 are: