Is 2377 a prime number? What are the divisors of 2377?

## Is 2377 a prime number?

Yes, 2377 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 2377, the only two divisors are 1 and 2377. Therefore 2377 is a prime number.

As a consequence, 2377 is only a multiple of 1 and 2377.

Since 2377 is a prime number, 2377 is also a deficient number, that is to say 2377 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2377 without 2377 itself (that is 1, by definition!).

## Parity of 2377

2377 is an odd number, because it is not evenly divisible by 2.

## Is 2377 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 2377 is about 48.754.

Thus, the square root of 2377 is not an integer, and therefore 2377 is not a square number.

Anyway, 2377 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2377?

The square of a number (here 2377) is the result of the product of this number (2377) by itself (i.e., 2377 × 2377); the square of 2377 is sometimes called "raising 2377 to the power 2", or "2377 squared".

The square of 2377 is 5 650 129 because 2377 × 2377 = 23772 = 5 650 129.

As a consequence, 2377 is the square root of 5 650 129.

## Number of digits of 2377

2377 is a number with 4 digits.

## What are the multiples of 2377?

The multiples of 2377 are all integers evenly divisible by 2377, that is all numbers such that the remainder of the division by 2377 is zero. There are infinitely many multiples of 2377. The smallest multiples of 2377 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2377 too, since 0 × 2377 = 0
• 2377: indeed, 2377 is a multiple of itself, since 2377 is evenly divisible by 2377 (we have 2377 / 2377 = 1, so the remainder of this division is indeed zero)
• 4 754: indeed, 4 754 = 2377 × 2
• 7 131: indeed, 7 131 = 2377 × 3
• 9 508: indeed, 9 508 = 2377 × 4
• 11 885: indeed, 11 885 = 2377 × 5
• etc.

## Nearest numbers from 2377

Find out whether some integer is a prime number