Is 2837 a prime number? What are the divisors of 2837?

## Is 2837 a prime number?

Yes, 2837 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 2837, the only two divisors are 1 and 2837. Therefore 2837 is a prime number.

As a consequence, 2837 is only a multiple of 1 and 2837.

Since 2837 is a prime number, 2837 is also a deficient number, that is to say 2837 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2837 without 2837 itself (that is 1, by definition!).

## Parity of 2837

2837 is an odd number, because it is not evenly divisible by 2.

## Is 2837 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 2837 is about 53.263.

Thus, the square root of 2837 is not an integer, and therefore 2837 is not a square number.

Anyway, 2837 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2837?

The square of a number (here 2837) is the result of the product of this number (2837) by itself (i.e., 2837 × 2837); the square of 2837 is sometimes called "raising 2837 to the power 2", or "2837 squared".

The square of 2837 is 8 048 569 because 2837 × 2837 = 28372 = 8 048 569.

As a consequence, 2837 is the square root of 8 048 569.

## Number of digits of 2837

2837 is a number with 4 digits.

## What are the multiples of 2837?

The multiples of 2837 are all integers evenly divisible by 2837, that is all numbers such that the remainder of the division by 2837 is zero. There are infinitely many multiples of 2837. The smallest multiples of 2837 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2837 too, since 0 × 2837 = 0
• 2837: indeed, 2837 is a multiple of itself, since 2837 is evenly divisible by 2837 (we have 2837 / 2837 = 1, so the remainder of this division is indeed zero)
• 5 674: indeed, 5 674 = 2837 × 2
• 8 511: indeed, 8 511 = 2837 × 3
• 11 348: indeed, 11 348 = 2837 × 4
• 14 185: indeed, 14 185 = 2837 × 5
• etc.

## Nearest numbers from 2837

Find out whether some integer is a prime number