Is 10477 a prime number? What are the divisors of 10477?

## Is 10477 a prime number?

Yes, 10477 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 10477, the only two divisors are 1 and 10477. Therefore 10477 is a prime number.

As a consequence, 10477 is only a multiple of 1 and 10477.

Since 10477 is a prime number, 10477 is also a deficient number, that is to say 10477 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10477 without 10477 itself (that is 1, by definition!).

## Parity of 10477

10477 is an odd number, because it is not evenly divisible by 2.

## Is 10477 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 10477 is about 102.357.

Thus, the square root of 10477 is not an integer, and therefore 10477 is not a square number.

Anyway, 10477 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10477?

The square of a number (here 10477) is the result of the product of this number (10477) by itself (i.e., 10477 × 10477); the square of 10477 is sometimes called "raising 10477 to the power 2", or "10477 squared".

The square of 10477 is 109 767 529 because 10477 × 10477 = 104772 = 109 767 529.

As a consequence, 10477 is the square root of 109 767 529.

## Number of digits of 10477

10477 is a number with 5 digits.

## What are the multiples of 10477?

The multiples of 10477 are all integers evenly divisible by 10477, that is all numbers such that the remainder of the division by 10477 is zero. There are infinitely many multiples of 10477. The smallest multiples of 10477 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10477 too, since 0 × 10477 = 0
• 10477: indeed, 10477 is a multiple of itself, since 10477 is evenly divisible by 10477 (we have 10477 / 10477 = 1, so the remainder of this division is indeed zero)
• 20 954: indeed, 20 954 = 10477 × 2
• 31 431: indeed, 31 431 = 10477 × 3
• 41 908: indeed, 41 908 = 10477 × 4
• 52 385: indeed, 52 385 = 10477 × 5
• etc.

## Nearest numbers from 10477

Find out whether some integer is a prime number