Is 7963 a prime number? What are the divisors of 7963?

## Is 7963 a prime number?

Yes, 7963 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 7963, the only two divisors are 1 and 7963. Therefore 7963 is a prime number.

As a consequence, 7963 is only a multiple of 1 and 7963.

Since 7963 is a prime number, 7963 is also a deficient number, that is to say 7963 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7963 without 7963 itself (that is 1, by definition!).

## Parity of 7963

7963 is an odd number, because it is not evenly divisible by 2.

## Is 7963 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 7963 is about 89.236.

Thus, the square root of 7963 is not an integer, and therefore 7963 is not a square number.

Anyway, 7963 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7963?

The square of a number (here 7963) is the result of the product of this number (7963) by itself (i.e., 7963 × 7963); the square of 7963 is sometimes called "raising 7963 to the power 2", or "7963 squared".

The square of 7963 is 63 409 369 because 7963 × 7963 = 79632 = 63 409 369.

As a consequence, 7963 is the square root of 63 409 369.

## Number of digits of 7963

7963 is a number with 4 digits.

## What are the multiples of 7963?

The multiples of 7963 are all integers evenly divisible by 7963, that is all numbers such that the remainder of the division by 7963 is zero. There are infinitely many multiples of 7963. The smallest multiples of 7963 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7963 too, since 0 × 7963 = 0
• 7963: indeed, 7963 is a multiple of itself, since 7963 is evenly divisible by 7963 (we have 7963 / 7963 = 1, so the remainder of this division is indeed zero)
• 15 926: indeed, 15 926 = 7963 × 2
• 23 889: indeed, 23 889 = 7963 × 3
• 31 852: indeed, 31 852 = 7963 × 4
• 39 815: indeed, 39 815 = 7963 × 5
• etc.

## Nearest numbers from 7963

Find out whether some integer is a prime number