Is 677 a prime number? What are the divisors of 677?

## Parity of 677

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

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## Is 677 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 677 is about 26.019.

Thus, the square root of 677 is not an integer, and therefore 677 is not a square number.

Anyway, 677 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 677?

The square of a number (here 677) is the result of the product of this number (677) by itself (i.e., 677 × 677); the square of 677 is sometimes called "raising 677 to the power 2", or "677 squared".

The square of 677 is 458 329 because 677 × 677 = 6772 = 458 329.

As a consequence, 677 is the square root of 458 329.

## Number of digits of 677

677 is a number with 3 digits.

## What are the multiples of 677?

The multiples of 677 are all integers evenly divisible by 677, that is all numbers such that the remainder of the division by 677 is zero. There are infinitely many multiples of 677. The smallest multiples of 677 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 677). 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 26.019). 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 677

• Preceding numbers: …675, 676
• Following numbers: 678, 679

### Nearest numbers from 677

• Preceding prime number: 673
• Following prime number: 683
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