Is 10771 a prime number? What are the divisors of 10771?

## Is 10771 a prime number?

Yes, 10771 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 10771, the only two divisors are 1 and 10771. Therefore 10771 is a prime number.

As a consequence, 10771 is only a multiple of 1 and 10771.

Since 10771 is a prime number, 10771 is also a deficient number, that is to say 10771 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10771 without 10771 itself (that is 1, by definition!).

## Parity of 10771

10771 is an odd number, because it is not evenly divisible by 2.

## Is 10771 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 10771 is about 103.783.

Thus, the square root of 10771 is not an integer, and therefore 10771 is not a square number.

Anyway, 10771 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10771?

The square of a number (here 10771) is the result of the product of this number (10771) by itself (i.e., 10771 × 10771); the square of 10771 is sometimes called "raising 10771 to the power 2", or "10771 squared".

The square of 10771 is 116 014 441 because 10771 × 10771 = 107712 = 116 014 441.

As a consequence, 10771 is the square root of 116 014 441.

## Number of digits of 10771

10771 is a number with 5 digits.

## What are the multiples of 10771?

The multiples of 10771 are all integers evenly divisible by 10771, that is all numbers such that the remainder of the division by 10771 is zero. There are infinitely many multiples of 10771. The smallest multiples of 10771 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10771 too, since 0 × 10771 = 0
• 10771: indeed, 10771 is a multiple of itself, since 10771 is evenly divisible by 10771 (we have 10771 / 10771 = 1, so the remainder of this division is indeed zero)
• 21 542: indeed, 21 542 = 10771 × 2
• 32 313: indeed, 32 313 = 10771 × 3
• 43 084: indeed, 43 084 = 10771 × 4
• 53 855: indeed, 53 855 = 10771 × 5
• etc.

## Nearest numbers from 10771

Find out whether some integer is a prime number