Is 1171 a prime number? What are the divisors of 1171?

## Is 1171 a prime number?

Yes, 1171 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 1171, the only two divisors are 1 and 1171. Therefore 1171 is a prime number.

As a consequence, 1171 is only a multiple of 1 and 1171.

Since 1171 is a prime number, 1171 is also a deficient number, that is to say 1171 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1171 without 1171 itself (that is 1, by definition!).

## Parity of 1171

1171 is an odd number, because it is not evenly divisible by 2.

## Is 1171 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 1171 is about 34.220.

Thus, the square root of 1171 is not an integer, and therefore 1171 is not a square number.

Anyway, 1171 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1171?

The square of a number (here 1171) is the result of the product of this number (1171) by itself (i.e., 1171 × 1171); the square of 1171 is sometimes called "raising 1171 to the power 2", or "1171 squared".

The square of 1171 is 1 371 241 because 1171 × 1171 = 11712 = 1 371 241.

As a consequence, 1171 is the square root of 1 371 241.

## Number of digits of 1171

1171 is a number with 4 digits.

## What are the multiples of 1171?

The multiples of 1171 are all integers evenly divisible by 1171, that is all numbers such that the remainder of the division by 1171 is zero. There are infinitely many multiples of 1171. The smallest multiples of 1171 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1171 too, since 0 × 1171 = 0
• 1171: indeed, 1171 is a multiple of itself, since 1171 is evenly divisible by 1171 (we have 1171 / 1171 = 1, so the remainder of this division is indeed zero)
• 2 342: indeed, 2 342 = 1171 × 2
• 3 513: indeed, 3 513 = 1171 × 3
• 4 684: indeed, 4 684 = 1171 × 4
• 5 855: indeed, 5 855 = 1171 × 5
• etc.

## Nearest numbers from 1171

Find out whether some integer is a prime number