Is 693 a prime number? What are the divisors of 693?

## Parity of 693

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

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## Is 693 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 693 is about 26.325.

Thus, the square root of 693 is not an integer, and therefore 693 is not a square number.

## What is the square number of 693?

The square of a number (here 693) is the result of the product of this number (693) by itself (i.e., 693 × 693); the square of 693 is sometimes called "raising 693 to the power 2", or "693 squared".

The square of 693 is 480 249 because 693 × 693 = 6932 = 480 249.

As a consequence, 693 is the square root of 480 249.

## Number of digits of 693

693 is a number with 3 digits.

## What are the multiples of 693?

The multiples of 693 are all integers evenly divisible by 693, that is all numbers such that the remainder of the division by 693 is zero. There are infinitely many multiples of 693. The smallest multiples of 693 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 693). 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 about 26.325). 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 693

• Preceding numbers: …691, 692
• Following numbers: 694, 695

### Nearest numbers from 693

• Preceding prime number: 691
• Following prime number: 701
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