It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 201 is not a prime number.
For example, 267 201 can be divided by 3: 267 201 / 3 = 89 067.
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For 267 201 to be a prime number, it would have been required that 267 201 has only two divisors, i.e., itself and 1.
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267 201 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 267 201 is about 516.915.
Thus, the square root of 267 201 is not an integer, and therefore 267 201 is not a square number.
The square of a number (here 267 201) is the result of the product of this number (267 201) by itself (i.e., 267 201 × 267 201); the square of 267 201 is sometimes called "raising 267 201 to the power 2", or "267 201 squared".
The square of 267 201 is 71 396 374 401 because 267 201 × 267 201 = 267 2012 = 71 396 374 401.
As a consequence, 267 201 is the square root of 71 396 374 401.
The multiples of 267 201 are all integers evenly divisible by 267 201, that is all numbers such that the remainder of the division by 267 201 is zero. There are infinitely many multiples of 267 201. The smallest multiples of 267 201 are: