It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 747 729 is not a prime number.
For example, 747 729 can be divided by 3: 747 729 / 3 = 249 243.
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For 747 729 to be a prime number, it would have been required that 747 729 has only two divisors, i.e., itself and 1.
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747 729 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 747 729 is about 864.713.
Thus, the square root of 747 729 is not an integer, and therefore 747 729 is not a square number.
The square of a number (here 747 729) is the result of the product of this number (747 729) by itself (i.e., 747 729 × 747 729); the square of 747 729 is sometimes called "raising 747 729 to the power 2", or "747 729 squared".
The square of 747 729 is 559 098 657 441 because 747 729 × 747 729 = 747 7292 = 559 098 657 441.
As a consequence, 747 729 is the square root of 559 098 657 441.
The multiples of 747 729 are all integers evenly divisible by 747 729, that is all numbers such that the remainder of the division by 747 729 is zero. There are infinitely many multiples of 747 729. The smallest multiples of 747 729 are: