Is 698 a prime number? What are the divisors of 698?

## Parity of 698

698 is an even number, because it is evenly divisible by 2: 698 / 2 = 349.

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## Is 698 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 698 is about 26.420.

Thus, the square root of 698 is not an integer, and therefore 698 is not a square number.

## What is the square number of 698?

The square of a number (here 698) is the result of the product of this number (698) by itself (i.e., 698 × 698); the square of 698 is sometimes called "raising 698 to the power 2", or "698 squared".

The square of 698 is 487 204 because 698 × 698 = 6982 = 487 204.

As a consequence, 698 is the square root of 487 204.

## Number of digits of 698

698 is a number with 3 digits.

## What are the multiples of 698?

The multiples of 698 are all integers evenly divisible by 698, that is all numbers such that the remainder of the division by 698 is zero. There are infinitely many multiples of 698. The smallest multiples of 698 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 698). 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 26.420). 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 698

• Preceding numbers: …696, 697
• Following numbers: 699, 700

### Nearest numbers from 698

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