Is 1097 a prime number? What are the divisors of 1097?

## Is 1097 a prime number?

Yes, 1097 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 1097, the only two divisors are 1 and 1097. Therefore 1097 is a prime number.

As a consequence, 1097 is only a multiple of 1 and 1097.

Since 1097 is a prime number, 1097 is also a deficient number, that is to say 1097 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1097 without 1097 itself (that is 1, by definition!).

## Parity of 1097

1097 is an odd number, because it is not evenly divisible by 2.

## Is 1097 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 1097 is about 33.121.

Thus, the square root of 1097 is not an integer, and therefore 1097 is not a square number.

Anyway, 1097 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1097?

The square of a number (here 1097) is the result of the product of this number (1097) by itself (i.e., 1097 × 1097); the square of 1097 is sometimes called "raising 1097 to the power 2", or "1097 squared".

The square of 1097 is 1 203 409 because 1097 × 1097 = 10972 = 1 203 409.

As a consequence, 1097 is the square root of 1 203 409.

## Number of digits of 1097

1097 is a number with 4 digits.

## What are the multiples of 1097?

The multiples of 1097 are all integers evenly divisible by 1097, that is all numbers such that the remainder of the division by 1097 is zero. There are infinitely many multiples of 1097. The smallest multiples of 1097 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1097 too, since 0 × 1097 = 0
• 1097: indeed, 1097 is a multiple of itself, since 1097 is evenly divisible by 1097 (we have 1097 / 1097 = 1, so the remainder of this division is indeed zero)
• 2 194: indeed, 2 194 = 1097 × 2
• 3 291: indeed, 3 291 = 1097 × 3
• 4 388: indeed, 4 388 = 1097 × 4
• 5 485: indeed, 5 485 = 1097 × 5
• etc.

## Nearest numbers from 1097

Find out whether some integer is a prime number