Is 2477 a prime number? What are the divisors of 2477?

## Is 2477 a prime number?

Yes, 2477 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 2477, the only two divisors are 1 and 2477. Therefore 2477 is a prime number.

As a consequence, 2477 is only a multiple of 1 and 2477.

Since 2477 is a prime number, 2477 is also a deficient number, that is to say 2477 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2477 without 2477 itself (that is 1, by definition!).

## Parity of 2477

2477 is an odd number, because it is not evenly divisible by 2.

## Is 2477 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 2477 is about 49.769.

Thus, the square root of 2477 is not an integer, and therefore 2477 is not a square number.

Anyway, 2477 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2477?

The square of a number (here 2477) is the result of the product of this number (2477) by itself (i.e., 2477 × 2477); the square of 2477 is sometimes called "raising 2477 to the power 2", or "2477 squared".

The square of 2477 is 6 135 529 because 2477 × 2477 = 24772 = 6 135 529.

As a consequence, 2477 is the square root of 6 135 529.

## Number of digits of 2477

2477 is a number with 4 digits.

## What are the multiples of 2477?

The multiples of 2477 are all integers evenly divisible by 2477, that is all numbers such that the remainder of the division by 2477 is zero. There are infinitely many multiples of 2477. The smallest multiples of 2477 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2477 too, since 0 × 2477 = 0
• 2477: indeed, 2477 is a multiple of itself, since 2477 is evenly divisible by 2477 (we have 2477 / 2477 = 1, so the remainder of this division is indeed zero)
• 4 954: indeed, 4 954 = 2477 × 2
• 7 431: indeed, 7 431 = 2477 × 3
• 9 908: indeed, 9 908 = 2477 × 4
• 12 385: indeed, 12 385 = 2477 × 5
• etc.

## Nearest numbers from 2477

Find out whether some integer is a prime number