Is 5471 a prime number? What are the divisors of 5471?

## Is 5471 a prime number?

Yes, 5471 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 5471, the only two divisors are 1 and 5471. Therefore 5471 is a prime number.

As a consequence, 5471 is only a multiple of 1 and 5471.

Since 5471 is a prime number, 5471 is also a deficient number, that is to say 5471 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5471 without 5471 itself (that is 1, by definition!).

## Parity of 5471

5471 is an odd number, because it is not evenly divisible by 2.

## Is 5471 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 5471 is about 73.966.

Thus, the square root of 5471 is not an integer, and therefore 5471 is not a square number.

Anyway, 5471 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5471?

The square of a number (here 5471) is the result of the product of this number (5471) by itself (i.e., 5471 × 5471); the square of 5471 is sometimes called "raising 5471 to the power 2", or "5471 squared".

The square of 5471 is 29 931 841 because 5471 × 5471 = 54712 = 29 931 841.

As a consequence, 5471 is the square root of 29 931 841.

## Number of digits of 5471

5471 is a number with 4 digits.

## What are the multiples of 5471?

The multiples of 5471 are all integers evenly divisible by 5471, that is all numbers such that the remainder of the division by 5471 is zero. There are infinitely many multiples of 5471. The smallest multiples of 5471 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5471 too, since 0 × 5471 = 0
• 5471: indeed, 5471 is a multiple of itself, since 5471 is evenly divisible by 5471 (we have 5471 / 5471 = 1, so the remainder of this division is indeed zero)
• 10 942: indeed, 10 942 = 5471 × 2
• 16 413: indeed, 16 413 = 5471 × 3
• 21 884: indeed, 21 884 = 5471 × 4
• 27 355: indeed, 27 355 = 5471 × 5
• etc.

## Nearest numbers from 5471

Find out whether some integer is a prime number