Is 7121 a prime number? What are the divisors of 7121?

## Is 7121 a prime number?

Yes, 7121 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 7121, the only two divisors are 1 and 7121. Therefore 7121 is a prime number.

As a consequence, 7121 is only a multiple of 1 and 7121.

Since 7121 is a prime number, 7121 is also a deficient number, that is to say 7121 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7121 without 7121 itself (that is 1, by definition!).

## Parity of 7121

7121 is an odd number, because it is not evenly divisible by 2.

## Is 7121 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 7121 is about 84.386.

Thus, the square root of 7121 is not an integer, and therefore 7121 is not a square number.

Anyway, 7121 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7121?

The square of a number (here 7121) is the result of the product of this number (7121) by itself (i.e., 7121 × 7121); the square of 7121 is sometimes called "raising 7121 to the power 2", or "7121 squared".

The square of 7121 is 50 708 641 because 7121 × 7121 = 71212 = 50 708 641.

As a consequence, 7121 is the square root of 50 708 641.

## Number of digits of 7121

7121 is a number with 4 digits.

## What are the multiples of 7121?

The multiples of 7121 are all integers evenly divisible by 7121, that is all numbers such that the remainder of the division by 7121 is zero. There are infinitely many multiples of 7121. The smallest multiples of 7121 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7121 too, since 0 × 7121 = 0
• 7121: indeed, 7121 is a multiple of itself, since 7121 is evenly divisible by 7121 (we have 7121 / 7121 = 1, so the remainder of this division is indeed zero)
• 14 242: indeed, 14 242 = 7121 × 2
• 21 363: indeed, 21 363 = 7121 × 3
• 28 484: indeed, 28 484 = 7121 × 4
• 35 605: indeed, 35 605 = 7121 × 5
• etc.

## Nearest numbers from 7121

Find out whether some integer is a prime number