It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 67 664 is not a prime number.
For example, 67 664 can be divided by 2: 67 664 / 2 = 33 832.
For 67 664 to be a prime number, it would have been required that 67 664 has only two divisors, i.e., itself and 1.
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67 664 is an even number, because it is evenly divisible by 2: 67 664 / 2 = 33 832.
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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 67 664 is about 260.123.
Thus, the square root of 67 664 is not an integer, and therefore 67 664 is not a square number.
The square of a number (here 67 664) is the result of the product of this number (67 664) by itself (i.e., 67 664 × 67 664); the square of 67 664 is sometimes called "raising 67 664 to the power 2", or "67 664 squared".
The square of 67 664 is 4 578 416 896 because 67 664 × 67 664 = 67 6642 = 4 578 416 896.
As a consequence, 67 664 is the square root of 4 578 416 896.
The multiples of 67 664 are all integers evenly divisible by 67 664, that is all numbers such that the remainder of the division by 67 664 is zero. There are infinitely many multiples of 67 664. The smallest multiples of 67 664 are: