It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 967 is not a prime number.
For example, 7 967 can be divided by 31: 7 967 / 31 = 257.
For 7 967 to be a prime number, it would have been required that 7 967 has only two divisors, i.e., itself and 1.
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7 967 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 7 967 is about 89.258.
Thus, the square root of 7 967 is not an integer, and therefore 7 967 is not a square number.
The square of a number (here 7 967) is the result of the product of this number (7 967) by itself (i.e., 7 967 × 7 967); the square of 7 967 is sometimes called "raising 7 967 to the power 2", or "7 967 squared".
The square of 7 967 is 63 473 089 because 7 967 × 7 967 = 7 9672 = 63 473 089.
As a consequence, 7 967 is the square root of 63 473 089.
The multiples of 7 967 are all integers evenly divisible by 7 967, that is all numbers such that the remainder of the division by 7 967 is zero. There are infinitely many multiples of 7 967. The smallest multiples of 7 967 are: