Is 611 a prime number? What are the divisors of 611?

## Parity of 611

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

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## Is 611 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 611 is about 24.718.

Thus, the square root of 611 is not an integer, and therefore 611 is not a square number.

## What is the square number of 611?

The square of a number (here 611) is the result of the product of this number (611) by itself (i.e., 611 × 611); the square of 611 is sometimes called "raising 611 to the power 2", or "611 squared".

The square of 611 is 373 321 because 611 × 611 = 6112 = 373 321.

As a consequence, 611 is the square root of 373 321.

## Number of digits of 611

611 is a number with 3 digits.

## What are the multiples of 611?

The multiples of 611 are all integers evenly divisible by 611, that is all numbers such that the remainder of the division by 611 is zero. There are infinitely many multiples of 611. The smallest multiples of 611 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 611). 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 24.718). 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 611

• Preceding numbers: …609, 610
• Following numbers: 612, 613

### Nearest numbers from 611

• Preceding prime number: 607
• Following prime number: 613
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