Is 1471 a prime number? What are the divisors of 1471?

## Is 1471 a prime number?

Yes, 1471 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 1471, the only two divisors are 1 and 1471. Therefore 1471 is a prime number.

As a consequence, 1471 is only a multiple of 1 and 1471.

Since 1471 is a prime number, 1471 is also a deficient number, that is to say 1471 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1471 without 1471 itself (that is 1, by definition!).

## Parity of 1471

1471 is an odd number, because it is not evenly divisible by 2.

## Is 1471 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 1471 is about 38.354.

Thus, the square root of 1471 is not an integer, and therefore 1471 is not a square number.

Anyway, 1471 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1471?

The square of a number (here 1471) is the result of the product of this number (1471) by itself (i.e., 1471 × 1471); the square of 1471 is sometimes called "raising 1471 to the power 2", or "1471 squared".

The square of 1471 is 2 163 841 because 1471 × 1471 = 14712 = 2 163 841.

As a consequence, 1471 is the square root of 2 163 841.

## Number of digits of 1471

1471 is a number with 4 digits.

## What are the multiples of 1471?

The multiples of 1471 are all integers evenly divisible by 1471, that is all numbers such that the remainder of the division by 1471 is zero. There are infinitely many multiples of 1471. The smallest multiples of 1471 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1471 too, since 0 × 1471 = 0
• 1471: indeed, 1471 is a multiple of itself, since 1471 is evenly divisible by 1471 (we have 1471 / 1471 = 1, so the remainder of this division is indeed zero)
• 2 942: indeed, 2 942 = 1471 × 2
• 4 413: indeed, 4 413 = 1471 × 3
• 5 884: indeed, 5 884 = 1471 × 4
• 7 355: indeed, 7 355 = 1471 × 5
• etc.

## Nearest numbers from 1471

Find out whether some integer is a prime number