It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 164 401 is not a prime number.
For example, 164 401 can be divided by 29: 164 401 / 29 = 5 669.
For 164 401 to be a prime number, it would have been required that 164 401 has only two divisors, i.e., itself and 1.
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164 401 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 164 401 is about 405.464.
Thus, the square root of 164 401 is not an integer, and therefore 164 401 is not a square number.
The square of a number (here 164 401) is the result of the product of this number (164 401) by itself (i.e., 164 401 × 164 401); the square of 164 401 is sometimes called "raising 164 401 to the power 2", or "164 401 squared".
The square of 164 401 is 27 027 688 801 because 164 401 × 164 401 = 164 4012 = 27 027 688 801.
As a consequence, 164 401 is the square root of 27 027 688 801.
The multiples of 164 401 are all integers evenly divisible by 164 401, that is all numbers such that the remainder of the division by 164 401 is zero. There are infinitely many multiples of 164 401. The smallest multiples of 164 401 are: