Is 3877 a prime number? What are the divisors of 3877?

## Is 3877 a prime number?

Yes, 3877 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 3877, the only two divisors are 1 and 3877. Therefore 3877 is a prime number.

As a consequence, 3877 is only a multiple of 1 and 3877.

Since 3877 is a prime number, 3877 is also a deficient number, that is to say 3877 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3877 without 3877 itself (that is 1, by definition!).

## Parity of 3877

3877 is an odd number, because it is not evenly divisible by 2.

## Is 3877 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 3877 is about 62.266.

Thus, the square root of 3877 is not an integer, and therefore 3877 is not a square number.

Anyway, 3877 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3877?

The square of a number (here 3877) is the result of the product of this number (3877) by itself (i.e., 3877 × 3877); the square of 3877 is sometimes called "raising 3877 to the power 2", or "3877 squared".

The square of 3877 is 15 031 129 because 3877 × 3877 = 38772 = 15 031 129.

As a consequence, 3877 is the square root of 15 031 129.

## Number of digits of 3877

3877 is a number with 4 digits.

## What are the multiples of 3877?

The multiples of 3877 are all integers evenly divisible by 3877, that is all numbers such that the remainder of the division by 3877 is zero. There are infinitely many multiples of 3877. The smallest multiples of 3877 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3877 too, since 0 × 3877 = 0
• 3877: indeed, 3877 is a multiple of itself, since 3877 is evenly divisible by 3877 (we have 3877 / 3877 = 1, so the remainder of this division is indeed zero)
• 7 754: indeed, 7 754 = 3877 × 2
• 11 631: indeed, 11 631 = 3877 × 3
• 15 508: indeed, 15 508 = 3877 × 4
• 19 385: indeed, 19 385 = 3877 × 5
• etc.

## Nearest numbers from 3877

Find out whether some integer is a prime number