It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 1 106 729 is not a prime number.
For example, 1 106 729 can be divided by 13: 1 106 729 / 13 = 85 133.
For 1 106 729 to be a prime number, it would have been required that 1 106 729 has only two divisors, i.e., itself and 1.
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1 106 729 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 1 106 729 is about 1 052.012.
Thus, the square root of 1 106 729 is not an integer, and therefore 1 106 729 is not a square number.
The square of a number (here 1 106 729) is the result of the product of this number (1 106 729) by itself (i.e., 1 106 729 × 1 106 729); the square of 1 106 729 is sometimes called "raising 1 106 729 to the power 2", or "1 106 729 squared".
The square of 1 106 729 is 1 224 849 079 441 because 1 106 729 × 1 106 729 = 1 106 7292 = 1 224 849 079 441.
As a consequence, 1 106 729 is the square root of 1 224 849 079 441.
The multiples of 1 106 729 are all integers evenly divisible by 1 106 729, that is all numbers such that the remainder of the division by 1 106 729 is zero. There are infinitely many multiples of 1 106 729. The smallest multiples of 1 106 729 are: