Is 3121 a prime number? What are the divisors of 3121?

## Is 3121 a prime number?

Yes, 3121 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 3121, the only two divisors are 1 and 3121. Therefore 3121 is a prime number.

As a consequence, 3121 is only a multiple of 1 and 3121.

Since 3121 is a prime number, 3121 is also a deficient number, that is to say 3121 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3121 without 3121 itself (that is 1, by definition!).

## Parity of 3121

3121 is an odd number, because it is not evenly divisible by 2.

## Is 3121 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 3121 is about 55.866.

Thus, the square root of 3121 is not an integer, and therefore 3121 is not a square number.

Anyway, 3121 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3121?

The square of a number (here 3121) is the result of the product of this number (3121) by itself (i.e., 3121 × 3121); the square of 3121 is sometimes called "raising 3121 to the power 2", or "3121 squared".

The square of 3121 is 9 740 641 because 3121 × 3121 = 31212 = 9 740 641.

As a consequence, 3121 is the square root of 9 740 641.

## Number of digits of 3121

3121 is a number with 4 digits.

## What are the multiples of 3121?

The multiples of 3121 are all integers evenly divisible by 3121, that is all numbers such that the remainder of the division by 3121 is zero. There are infinitely many multiples of 3121. The smallest multiples of 3121 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3121 too, since 0 × 3121 = 0
• 3121: indeed, 3121 is a multiple of itself, since 3121 is evenly divisible by 3121 (we have 3121 / 3121 = 1, so the remainder of this division is indeed zero)
• 6 242: indeed, 6 242 = 3121 × 2
• 9 363: indeed, 9 363 = 3121 × 3
• 12 484: indeed, 12 484 = 3121 × 4
• 15 605: indeed, 15 605 = 3121 × 5
• etc.

## Nearest numbers from 3121

Find out whether some integer is a prime number