Is 9551 a prime number? What are the divisors of 9551?

## Is 9551 a prime number?

Yes, 9551 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 9551, the only two divisors are 1 and 9551. Therefore 9551 is a prime number.

As a consequence, 9551 is only a multiple of 1 and 9551.

Since 9551 is a prime number, 9551 is also a deficient number, that is to say 9551 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9551 without 9551 itself (that is 1, by definition!).

## Parity of 9551

9551 is an odd number, because it is not evenly divisible by 2.

## Is 9551 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 9551 is about 97.729.

Thus, the square root of 9551 is not an integer, and therefore 9551 is not a square number.

Anyway, 9551 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9551?

The square of a number (here 9551) is the result of the product of this number (9551) by itself (i.e., 9551 × 9551); the square of 9551 is sometimes called "raising 9551 to the power 2", or "9551 squared".

The square of 9551 is 91 221 601 because 9551 × 9551 = 95512 = 91 221 601.

As a consequence, 9551 is the square root of 91 221 601.

## Number of digits of 9551

9551 is a number with 4 digits.

## What are the multiples of 9551?

The multiples of 9551 are all integers evenly divisible by 9551, that is all numbers such that the remainder of the division by 9551 is zero. There are infinitely many multiples of 9551. The smallest multiples of 9551 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9551 too, since 0 × 9551 = 0
• 9551: indeed, 9551 is a multiple of itself, since 9551 is evenly divisible by 9551 (we have 9551 / 9551 = 1, so the remainder of this division is indeed zero)
• 19 102: indeed, 19 102 = 9551 × 2
• 28 653: indeed, 28 653 = 9551 × 3
• 38 204: indeed, 38 204 = 9551 × 4
• 47 755: indeed, 47 755 = 9551 × 5
• etc.

## Nearest numbers from 9551

Find out whether some integer is a prime number