Is 1553 a prime number? What are the divisors of 1553?

## Is 1553 a prime number?

Yes, 1553 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 1553, the only two divisors are 1 and 1553. Therefore 1553 is a prime number.

As a consequence, 1553 is only a multiple of 1 and 1553.

Since 1553 is a prime number, 1553 is also a deficient number, that is to say 1553 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1553 without 1553 itself (that is 1, by definition!).

## Parity of 1553

1553 is an odd number, because it is not evenly divisible by 2.

## Is 1553 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 1553 is about 39.408.

Thus, the square root of 1553 is not an integer, and therefore 1553 is not a square number.

Anyway, 1553 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1553?

The square of a number (here 1553) is the result of the product of this number (1553) by itself (i.e., 1553 × 1553); the square of 1553 is sometimes called "raising 1553 to the power 2", or "1553 squared".

The square of 1553 is 2 411 809 because 1553 × 1553 = 15532 = 2 411 809.

As a consequence, 1553 is the square root of 2 411 809.

## Number of digits of 1553

1553 is a number with 4 digits.

## What are the multiples of 1553?

The multiples of 1553 are all integers evenly divisible by 1553, that is all numbers such that the remainder of the division by 1553 is zero. There are infinitely many multiples of 1553. The smallest multiples of 1553 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1553 too, since 0 × 1553 = 0
• 1553: indeed, 1553 is a multiple of itself, since 1553 is evenly divisible by 1553 (we have 1553 / 1553 = 1, so the remainder of this division is indeed zero)
• 3 106: indeed, 3 106 = 1553 × 2
• 4 659: indeed, 4 659 = 1553 × 3
• 6 212: indeed, 6 212 = 1553 × 4
• 7 765: indeed, 7 765 = 1553 × 5
• etc.

## Nearest numbers from 1553

Find out whether some integer is a prime number