It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 023 is not a prime number.
For example, 267 023 can be divided by 257: 267 023 / 257 = 1 039.
For 267 023 to be a prime number, it would have been required that 267 023 has only two divisors, i.e., itself and 1.
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267 023 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 267 023 is about 516.743.
Thus, the square root of 267 023 is not an integer, and therefore 267 023 is not a square number.
The square of a number (here 267 023) is the result of the product of this number (267 023) by itself (i.e., 267 023 × 267 023); the square of 267 023 is sometimes called "raising 267 023 to the power 2", or "267 023 squared".
The square of 267 023 is 71 301 282 529 because 267 023 × 267 023 = 267 0232 = 71 301 282 529.
As a consequence, 267 023 is the square root of 71 301 282 529.
The multiples of 267 023 are all integers evenly divisible by 267 023, that is all numbers such that the remainder of the division by 267 023 is zero. There are infinitely many multiples of 267 023. The smallest multiples of 267 023 are: