It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 007 167 is not a prime number.
For example, 8 007 167 can be divided by 7: 8 007 167 / 7 = 1 143 881.
For 8 007 167 to be a prime number, it would have been required that 8 007 167 has only two divisors, i.e., itself and 1.
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8 007 167 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 8 007 167 is about 2 829.694.
Thus, the square root of 8 007 167 is not an integer, and therefore 8 007 167 is not a square number.
The square of a number (here 8 007 167) is the result of the product of this number (8 007 167) by itself (i.e., 8 007 167 × 8 007 167); the square of 8 007 167 is sometimes called "raising 8 007 167 to the power 2", or "8 007 167 squared".
The square of 8 007 167 is 64 114 723 365 889 because 8 007 167 × 8 007 167 = 8 007 1672 = 64 114 723 365 889.
As a consequence, 8 007 167 is the square root of 64 114 723 365 889.
The multiples of 8 007 167 are all integers evenly divisible by 8 007 167, that is all numbers such that the remainder of the division by 8 007 167 is zero. There are infinitely many multiples of 8 007 167. The smallest multiples of 8 007 167 are: