Is 1117 a prime number? What are the divisors of 1117?

## Is 1117 a prime number?

Yes, 1117 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 1117, the only two divisors are 1 and 1117. Therefore 1117 is a prime number.

As a consequence, 1117 is only a multiple of 1 and 1117.

Since 1117 is a prime number, 1117 is also a deficient number, that is to say 1117 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1117 without 1117 itself (that is 1, by definition!).

## Parity of 1117

1117 is an odd number, because it is not evenly divisible by 2.

## Is 1117 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 1117 is about 33.422.

Thus, the square root of 1117 is not an integer, and therefore 1117 is not a square number.

Anyway, 1117 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1117?

The square of a number (here 1117) is the result of the product of this number (1117) by itself (i.e., 1117 × 1117); the square of 1117 is sometimes called "raising 1117 to the power 2", or "1117 squared".

The square of 1117 is 1 247 689 because 1117 × 1117 = 11172 = 1 247 689.

As a consequence, 1117 is the square root of 1 247 689.

## Number of digits of 1117

1117 is a number with 4 digits.

## What are the multiples of 1117?

The multiples of 1117 are all integers evenly divisible by 1117, that is all numbers such that the remainder of the division by 1117 is zero. There are infinitely many multiples of 1117. The smallest multiples of 1117 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1117 too, since 0 × 1117 = 0
• 1117: indeed, 1117 is a multiple of itself, since 1117 is evenly divisible by 1117 (we have 1117 / 1117 = 1, so the remainder of this division is indeed zero)
• 2 234: indeed, 2 234 = 1117 × 2
• 3 351: indeed, 3 351 = 1117 × 3
• 4 468: indeed, 4 468 = 1117 × 4
• 5 585: indeed, 5 585 = 1117 × 5
• etc.

## Nearest numbers from 1117

Find out whether some integer is a prime number