It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 337 is not a prime number.
For example, 267 337 can be divided by 7: 267 337 / 7 = 38 191.
For 267 337 to be a prime number, it would have been required that 267 337 has only two divisors, i.e., itself and 1.
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267 337 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 267 337 is about 517.046.
Thus, the square root of 267 337 is not an integer, and therefore 267 337 is not a square number.
The square of a number (here 267 337) is the result of the product of this number (267 337) by itself (i.e., 267 337 × 267 337); the square of 267 337 is sometimes called "raising 267 337 to the power 2", or "267 337 squared".
The square of 267 337 is 71 469 071 569 because 267 337 × 267 337 = 267 3372 = 71 469 071 569.
As a consequence, 267 337 is the square root of 71 469 071 569.
The multiples of 267 337 are all integers evenly divisible by 267 337, that is all numbers such that the remainder of the division by 267 337 is zero. There are infinitely many multiples of 267 337. The smallest multiples of 267 337 are: