It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 164 564 is not a prime number.
For example, 164 564 can be divided by 2: 164 564 / 2 = 82 282.
For 164 564 to be a prime number, it would have been required that 164 564 has only two divisors, i.e., itself and 1.
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164 564 is an even number, because it is evenly divisible by 2: 164 564 / 2 = 82 282.
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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 164 564 is about 405.665.
Thus, the square root of 164 564 is not an integer, and therefore 164 564 is not a square number.
The square of a number (here 164 564) is the result of the product of this number (164 564) by itself (i.e., 164 564 × 164 564); the square of 164 564 is sometimes called "raising 164 564 to the power 2", or "164 564 squared".
The square of 164 564 is 27 081 310 096 because 164 564 × 164 564 = 164 5642 = 27 081 310 096.
As a consequence, 164 564 is the square root of 27 081 310 096.
The multiples of 164 564 are all integers evenly divisible by 164 564, that is all numbers such that the remainder of the division by 164 564 is zero. There are infinitely many multiples of 164 564. The smallest multiples of 164 564 are: