It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 338 729 is not a prime number.
For example, 338 729 can be divided by 47: 338 729 / 47 = 7 207.
For 338 729 to be a prime number, it would have been required that 338 729 has only two divisors, i.e., itself and 1.
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338 729 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 338 729 is about 582.004.
Thus, the square root of 338 729 is not an integer, and therefore 338 729 is not a square number.
The square of a number (here 338 729) is the result of the product of this number (338 729) by itself (i.e., 338 729 × 338 729); the square of 338 729 is sometimes called "raising 338 729 to the power 2", or "338 729 squared".
The square of 338 729 is 114 737 335 441 because 338 729 × 338 729 = 338 7292 = 114 737 335 441.
As a consequence, 338 729 is the square root of 114 737 335 441.
The multiples of 338 729 are all integers evenly divisible by 338 729, that is all numbers such that the remainder of the division by 338 729 is zero. There are infinitely many multiples of 338 729. The smallest multiples of 338 729 are: