It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 523 023 is not a prime number.
For example, 523 023 can be divided by 3: 523 023 / 3 = 174 341.
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For 523 023 to be a prime number, it would have been required that 523 023 has only two divisors, i.e., itself and 1.
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523 023 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 523 023 is about 723.203.
Thus, the square root of 523 023 is not an integer, and therefore 523 023 is not a square number.
The square of a number (here 523 023) is the result of the product of this number (523 023) by itself (i.e., 523 023 × 523 023); the square of 523 023 is sometimes called "raising 523 023 to the power 2", or "523 023 squared".
The square of 523 023 is 273 553 058 529 because 523 023 × 523 023 = 523 0232 = 273 553 058 529.
As a consequence, 523 023 is the square root of 273 553 058 529.
The multiples of 523 023 are all integers evenly divisible by 523 023, that is all numbers such that the remainder of the division by 523 023 is zero. There are infinitely many multiples of 523 023. The smallest multiples of 523 023 are: