Is 2179 a prime number? What are the divisors of 2179?

## Is 2179 a prime number?

Yes, 2179 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 2179, the only two divisors are 1 and 2179. Therefore 2179 is a prime number.

As a consequence, 2179 is only a multiple of 1 and 2179.

Since 2179 is a prime number, 2179 is also a deficient number, that is to say 2179 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2179 without 2179 itself (that is 1, by definition!).

## Parity of 2179

2179 is an odd number, because it is not evenly divisible by 2.

## Is 2179 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 2179 is about 46.680.

Thus, the square root of 2179 is not an integer, and therefore 2179 is not a square number.

Anyway, 2179 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2179?

The square of a number (here 2179) is the result of the product of this number (2179) by itself (i.e., 2179 × 2179); the square of 2179 is sometimes called "raising 2179 to the power 2", or "2179 squared".

The square of 2179 is 4 748 041 because 2179 × 2179 = 21792 = 4 748 041.

As a consequence, 2179 is the square root of 4 748 041.

## Number of digits of 2179

2179 is a number with 4 digits.

## What are the multiples of 2179?

The multiples of 2179 are all integers evenly divisible by 2179, that is all numbers such that the remainder of the division by 2179 is zero. There are infinitely many multiples of 2179. The smallest multiples of 2179 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2179 too, since 0 × 2179 = 0
• 2179: indeed, 2179 is a multiple of itself, since 2179 is evenly divisible by 2179 (we have 2179 / 2179 = 1, so the remainder of this division is indeed zero)
• 4 358: indeed, 4 358 = 2179 × 2
• 6 537: indeed, 6 537 = 2179 × 3
• 8 716: indeed, 8 716 = 2179 × 4
• 10 895: indeed, 10 895 = 2179 × 5
• etc.

## Nearest numbers from 2179

Find out whether some integer is a prime number