It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 414 is not a prime number.
For example, 267 414 can be divided by 2: 267 414 / 2 = 133 707.
For 267 414 to be a prime number, it would have been required that 267 414 has only two divisors, i.e., itself and 1.
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267 414 is an even number, because it is evenly divisible by 2: 267 414 / 2 = 133 707.
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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 267 414 is about 517.121.
Thus, the square root of 267 414 is not an integer, and therefore 267 414 is not a square number.
The square of a number (here 267 414) is the result of the product of this number (267 414) by itself (i.e., 267 414 × 267 414); the square of 267 414 is sometimes called "raising 267 414 to the power 2", or "267 414 squared".
The square of 267 414 is 71 510 247 396 because 267 414 × 267 414 = 267 4142 = 71 510 247 396.
As a consequence, 267 414 is the square root of 71 510 247 396.
The multiples of 267 414 are all integers evenly divisible by 267 414, that is all numbers such that the remainder of the division by 267 414 is zero. There are infinitely many multiples of 267 414. The smallest multiples of 267 414 are: