It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 267 834 is not a prime number.
For example, 267 834 can be divided by 2: 267 834 / 2 = 133 917.
For 267 834 to be a prime number, it would have been required that 267 834 has only two divisors, i.e., itself and 1.
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267 834 is an even number, because it is evenly divisible by 2: 267 834 / 2 = 133 917.
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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 267 834 is about 517.527.
Thus, the square root of 267 834 is not an integer, and therefore 267 834 is not a square number.
The square of a number (here 267 834) is the result of the product of this number (267 834) by itself (i.e., 267 834 × 267 834); the square of 267 834 is sometimes called "raising 267 834 to the power 2", or "267 834 squared".
The square of 267 834 is 71 735 051 556 because 267 834 × 267 834 = 267 8342 = 71 735 051 556.
As a consequence, 267 834 is the square root of 71 735 051 556.
The multiples of 267 834 are all integers evenly divisible by 267 834, that is all numbers such that the remainder of the division by 267 834 is zero. There are infinitely many multiples of 267 834. The smallest multiples of 267 834 are: