It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 264 233 is not a prime number.
For example, 264 233 can be divided by 19: 264 233 / 19 = 13 907.
For 264 233 to be a prime number, it would have been required that 264 233 has only two divisors, i.e., itself and 1.
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264 233 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 264 233 is about 514.036.
Thus, the square root of 264 233 is not an integer, and therefore 264 233 is not a square number.
The square of a number (here 264 233) is the result of the product of this number (264 233) by itself (i.e., 264 233 × 264 233); the square of 264 233 is sometimes called "raising 264 233 to the power 2", or "264 233 squared".
The square of 264 233 is 69 819 078 289 because 264 233 × 264 233 = 264 2332 = 69 819 078 289.
As a consequence, 264 233 is the square root of 69 819 078 289.
The multiples of 264 233 are all integers evenly divisible by 264 233, that is all numbers such that the remainder of the division by 264 233 is zero. There are infinitely many multiples of 264 233. The smallest multiples of 264 233 are: