It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 407 is not a prime number.
For example, 267 407 can be divided by 7: 267 407 / 7 = 38 201.
For 267 407 to be a prime number, it would have been required that 267 407 has only two divisors, i.e., itself and 1.
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267 407 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 267 407 is about 517.114.
Thus, the square root of 267 407 is not an integer, and therefore 267 407 is not a square number.
The square of a number (here 267 407) is the result of the product of this number (267 407) by itself (i.e., 267 407 × 267 407); the square of 267 407 is sometimes called "raising 267 407 to the power 2", or "267 407 squared".
The square of 267 407 is 71 506 503 649 because 267 407 × 267 407 = 267 4072 = 71 506 503 649.
As a consequence, 267 407 is the square root of 71 506 503 649.
The multiples of 267 407 are all integers evenly divisible by 267 407, that is all numbers such that the remainder of the division by 267 407 is zero. There are infinitely many multiples of 267 407. The smallest multiples of 267 407 are: