Is 461 a prime number? What are the divisors of 461?

## Parity of 461

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

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## Is 461 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 461 is about 21.471.

Thus, the square root of 461 is not an integer, and therefore 461 is not a square number.

Anyway, 461 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 461?

The square of a number (here 461) is the result of the product of this number (461) by itself (i.e., 461 × 461); the square of 461 is sometimes called "raising 461 to the power 2", or "461 squared".

The square of 461 is 212 521 because 461 × 461 = 4612 = 212 521.

As a consequence, 461 is the square root of 212 521.

## Number of digits of 461

461 is a number with 3 digits.

## What are the multiples of 461?

The multiples of 461 are all integers evenly divisible by 461, that is all numbers such that the remainder of the division by 461 is zero. There are infinitely many multiples of 461. The smallest multiples of 461 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 461). 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 21.471). 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 461

• Preceding numbers: …459, 460
• Following numbers: 462, 463

### Nearest numbers from 461

• Preceding prime number: 457
• Following prime number: 463
Find out whether some integer is a prime number