Is 3331 a prime number? What are the divisors of 3331?

## Is 3331 a prime number?

Yes, 3331 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 3331, the only two divisors are 1 and 3331. Therefore 3331 is a prime number.

As a consequence, 3331 is only a multiple of 1 and 3331.

Since 3331 is a prime number, 3331 is also a deficient number, that is to say 3331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3331 without 3331 itself (that is 1, by definition!).

## Parity of 3331

3331 is an odd number, because it is not evenly divisible by 2.

## Is 3331 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 3331 is about 57.715.

Thus, the square root of 3331 is not an integer, and therefore 3331 is not a square number.

Anyway, 3331 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3331?

The square of a number (here 3331) is the result of the product of this number (3331) by itself (i.e., 3331 × 3331); the square of 3331 is sometimes called "raising 3331 to the power 2", or "3331 squared".

The square of 3331 is 11 095 561 because 3331 × 3331 = 33312 = 11 095 561.

As a consequence, 3331 is the square root of 11 095 561.

## Number of digits of 3331

3331 is a number with 4 digits.

## What are the multiples of 3331?

The multiples of 3331 are all integers evenly divisible by 3331, that is all numbers such that the remainder of the division by 3331 is zero. There are infinitely many multiples of 3331. The smallest multiples of 3331 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3331 too, since 0 × 3331 = 0
• 3331: indeed, 3331 is a multiple of itself, since 3331 is evenly divisible by 3331 (we have 3331 / 3331 = 1, so the remainder of this division is indeed zero)
• 6 662: indeed, 6 662 = 3331 × 2
• 9 993: indeed, 9 993 = 3331 × 3
• 13 324: indeed, 13 324 = 3331 × 4
• 16 655: indeed, 16 655 = 3331 × 5
• etc.

## Nearest numbers from 3331

Find out whether some integer is a prime number