It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 324 289 is not a prime number.
For example, 324 289 can be divided by 7: 324 289 / 7 = 46 327.
For 324 289 to be a prime number, it would have been required that 324 289 has only two divisors, i.e., itself and 1.
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324 289 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 324 289 is about 569.464.
Thus, the square root of 324 289 is not an integer, and therefore 324 289 is not a square number.
The square of a number (here 324 289) is the result of the product of this number (324 289) by itself (i.e., 324 289 × 324 289); the square of 324 289 is sometimes called "raising 324 289 to the power 2", or "324 289 squared".
The square of 324 289 is 105 163 355 521 because 324 289 × 324 289 = 324 2892 = 105 163 355 521.
As a consequence, 324 289 is the square root of 105 163 355 521.
The multiples of 324 289 are all integers evenly divisible by 324 289, that is all numbers such that the remainder of the division by 324 289 is zero. There are infinitely many multiples of 324 289. The smallest multiples of 324 289 are: