Is 697 a prime number? What are the divisors of 697?

## Parity of 697

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

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## Is 697 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 697 is about 26.401.

Thus, the square root of 697 is not an integer, and therefore 697 is not a square number.

## What is the square number of 697?

The square of a number (here 697) is the result of the product of this number (697) by itself (i.e., 697 × 697); the square of 697 is sometimes called "raising 697 to the power 2", or "697 squared".

The square of 697 is 485 809 because 697 × 697 = 6972 = 485 809.

As a consequence, 697 is the square root of 485 809.

## Number of digits of 697

697 is a number with 3 digits.

## What are the multiples of 697?

The multiples of 697 are all integers evenly divisible by 697, that is all numbers such that the remainder of the division by 697 is zero. There are infinitely many multiples of 697. The smallest multiples of 697 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 697). 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 26.401). 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 697

• Preceding numbers: …695, 696
• Following numbers: 698, 699

### Nearest numbers from 697

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