It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 167 564 is not a prime number.
For example, 167 564 can be divided by 2: 167 564 / 2 = 83 782.
For 167 564 to be a prime number, it would have been required that 167 564 has only two divisors, i.e., itself and 1.
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167 564 is an even number, because it is evenly divisible by 2: 167 564 / 2 = 83 782.
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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 167 564 is about 409.346.
Thus, the square root of 167 564 is not an integer, and therefore 167 564 is not a square number.
The square of a number (here 167 564) is the result of the product of this number (167 564) by itself (i.e., 167 564 × 167 564); the square of 167 564 is sometimes called "raising 167 564 to the power 2", or "167 564 squared".
The square of 167 564 is 28 077 694 096 because 167 564 × 167 564 = 167 5642 = 28 077 694 096.
As a consequence, 167 564 is the square root of 28 077 694 096.
The multiples of 167 564 are all integers evenly divisible by 167 564, that is all numbers such that the remainder of the division by 167 564 is zero. There are infinitely many multiples of 167 564. The smallest multiples of 167 564 are: