It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 838 is not a prime number.
For example, 267 838 can be divided by 2: 267 838 / 2 = 133 919.
For 267 838 to be a prime number, it would have been required that 267 838 has only two divisors, i.e., itself and 1.
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267 838 is an even number, because it is evenly divisible by 2: 267 838 / 2 = 133 919.
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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 267 838 is about 517.531.
Thus, the square root of 267 838 is not an integer, and therefore 267 838 is not a square number.
The square of a number (here 267 838) is the result of the product of this number (267 838) by itself (i.e., 267 838 × 267 838); the square of 267 838 is sometimes called "raising 267 838 to the power 2", or "267 838 squared".
The square of 267 838 is 71 737 194 244 because 267 838 × 267 838 = 267 8382 = 71 737 194 244.
As a consequence, 267 838 is the square root of 71 737 194 244.
The multiples of 267 838 are all integers evenly divisible by 267 838, that is all numbers such that the remainder of the division by 267 838 is zero. There are infinitely many multiples of 267 838. The smallest multiples of 267 838 are: