Is 4691 a prime number? What are the divisors of 4691?

## Is 4691 a prime number?

Yes, 4691 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 4691, the only two divisors are 1 and 4691. Therefore 4691 is a prime number.

As a consequence, 4691 is only a multiple of 1 and 4691.

Since 4691 is a prime number, 4691 is also a deficient number, that is to say 4691 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4691 without 4691 itself (that is 1, by definition!).

## Parity of 4691

4691 is an odd number, because it is not evenly divisible by 2.

## Is 4691 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 4691 is about 68.491.

Thus, the square root of 4691 is not an integer, and therefore 4691 is not a square number.

Anyway, 4691 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4691?

The square of a number (here 4691) is the result of the product of this number (4691) by itself (i.e., 4691 × 4691); the square of 4691 is sometimes called "raising 4691 to the power 2", or "4691 squared".

The square of 4691 is 22 005 481 because 4691 × 4691 = 46912 = 22 005 481.

As a consequence, 4691 is the square root of 22 005 481.

## Number of digits of 4691

4691 is a number with 4 digits.

## What are the multiples of 4691?

The multiples of 4691 are all integers evenly divisible by 4691, that is all numbers such that the remainder of the division by 4691 is zero. There are infinitely many multiples of 4691. The smallest multiples of 4691 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4691 too, since 0 × 4691 = 0
• 4691: indeed, 4691 is a multiple of itself, since 4691 is evenly divisible by 4691 (we have 4691 / 4691 = 1, so the remainder of this division is indeed zero)
• 9 382: indeed, 9 382 = 4691 × 2
• 14 073: indeed, 14 073 = 4691 × 3
• 18 764: indeed, 18 764 = 4691 × 4
• 23 455: indeed, 23 455 = 4691 × 5
• etc.

## Nearest numbers from 4691

Find out whether some integer is a prime number