Is 729 a prime number? What are the divisors of 729?

## Parity of 729

729 is an odd number, because it is not evenly divisible by 2.

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## Is 729 a perfect square number?

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 729 is 27.

Therefore, the square root of 729 is an integer, and as a consequence 729 is a perfect square.

As a consequence, 27 is the square root of 729.

## What is the square number of 729?

The square of a number (here 729) is the result of the product of this number (729) by itself (i.e., 729 × 729); the square of 729 is sometimes called "raising 729 to the power 2", or "729 squared".

The square of 729 is 531 441 because 729 × 729 = 7292 = 531 441.

As a consequence, 729 is the square root of 531 441.

## Number of digits of 729

729 is a number with 3 digits.

## What are the multiples of 729?

The multiples of 729 are all integers evenly divisible by 729, that is all numbers such that the remainder of the division by 729 is zero. There are infinitely many multiples of 729. The smallest multiples of 729 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 729). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is 27). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 729

• Preceding numbers: …727, 728
• Following numbers: 730, 731

### Nearest numbers from 729

• Preceding prime number: 727
• Following prime number: 733
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