Is 1223 a prime number? What are the divisors of 1223?

## Is 1223 a prime number?

Yes, 1223 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 1223, the only two divisors are 1 and 1223. Therefore 1223 is a prime number.

As a consequence, 1223 is only a multiple of 1 and 1223.

Since 1223 is a prime number, 1223 is also a deficient number, that is to say 1223 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1223 without 1223 itself (that is 1, by definition!).

## Parity of 1223

1223 is an odd number, because it is not evenly divisible by 2.

## Is 1223 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 1223 is about 34.971.

Thus, the square root of 1223 is not an integer, and therefore 1223 is not a square number.

Anyway, 1223 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1223?

The square of a number (here 1223) is the result of the product of this number (1223) by itself (i.e., 1223 × 1223); the square of 1223 is sometimes called "raising 1223 to the power 2", or "1223 squared".

The square of 1223 is 1 495 729 because 1223 × 1223 = 12232 = 1 495 729.

As a consequence, 1223 is the square root of 1 495 729.

## Number of digits of 1223

1223 is a number with 4 digits.

## What are the multiples of 1223?

The multiples of 1223 are all integers evenly divisible by 1223, that is all numbers such that the remainder of the division by 1223 is zero. There are infinitely many multiples of 1223. The smallest multiples of 1223 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1223 too, since 0 × 1223 = 0
• 1223: indeed, 1223 is a multiple of itself, since 1223 is evenly divisible by 1223 (we have 1223 / 1223 = 1, so the remainder of this division is indeed zero)
• 2 446: indeed, 2 446 = 1223 × 2
• 3 669: indeed, 3 669 = 1223 × 3
• 4 892: indeed, 4 892 = 1223 × 4
• 6 115: indeed, 6 115 = 1223 × 5
• etc.

## Nearest numbers from 1223

Find out whether some integer is a prime number