Is 4091 a prime number? What are the divisors of 4091?

## Is 4091 a prime number?

Yes, 4091 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 4091, the only two divisors are 1 and 4091. Therefore 4091 is a prime number.

As a consequence, 4091 is only a multiple of 1 and 4091.

Since 4091 is a prime number, 4091 is also a deficient number, that is to say 4091 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4091 without 4091 itself (that is 1, by definition!).

## Parity of 4091

4091 is an odd number, because it is not evenly divisible by 2.

## Is 4091 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 4091 is about 63.961.

Thus, the square root of 4091 is not an integer, and therefore 4091 is not a square number.

Anyway, 4091 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4091?

The square of a number (here 4091) is the result of the product of this number (4091) by itself (i.e., 4091 × 4091); the square of 4091 is sometimes called "raising 4091 to the power 2", or "4091 squared".

The square of 4091 is 16 736 281 because 4091 × 4091 = 40912 = 16 736 281.

As a consequence, 4091 is the square root of 16 736 281.

## Number of digits of 4091

4091 is a number with 4 digits.

## What are the multiples of 4091?

The multiples of 4091 are all integers evenly divisible by 4091, that is all numbers such that the remainder of the division by 4091 is zero. There are infinitely many multiples of 4091. The smallest multiples of 4091 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4091 too, since 0 × 4091 = 0
• 4091: indeed, 4091 is a multiple of itself, since 4091 is evenly divisible by 4091 (we have 4091 / 4091 = 1, so the remainder of this division is indeed zero)
• 8 182: indeed, 8 182 = 4091 × 2
• 12 273: indeed, 12 273 = 4091 × 3
• 16 364: indeed, 16 364 = 4091 × 4
• 20 455: indeed, 20 455 = 4091 × 5
• etc.

## Nearest numbers from 4091

Find out whether some integer is a prime number