Is 37963 a prime number? What are the divisors of 37963?

## Is 37963 a prime number?

Yes, 37963 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 37963, the only two divisors are 1 and 37963. Therefore 37963 is a prime number.

As a consequence, 37963 is only a multiple of 1 and 37963.

Since 37963 is a prime number, 37963 is also a deficient number, that is to say 37963 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37963 without 37963 itself (that is 1, by definition!).

## Parity of 37963

37963 is an odd number, because it is not evenly divisible by 2.

## Is 37963 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 37963 is about 194.841.

Thus, the square root of 37963 is not an integer, and therefore 37963 is not a square number.

Anyway, 37963 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 37963?

The square of a number (here 37963) is the result of the product of this number (37963) by itself (i.e., 37963 × 37963); the square of 37963 is sometimes called "raising 37963 to the power 2", or "37963 squared".

The square of 37963 is 1 441 189 369 because 37963 × 37963 = 379632 = 1 441 189 369.

As a consequence, 37963 is the square root of 1 441 189 369.

## Number of digits of 37963

37963 is a number with 5 digits.

## What are the multiples of 37963?

The multiples of 37963 are all integers evenly divisible by 37963, that is all numbers such that the remainder of the division by 37963 is zero. There are infinitely many multiples of 37963. The smallest multiples of 37963 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 37963 too, since 0 × 37963 = 0
• 37963: indeed, 37963 is a multiple of itself, since 37963 is evenly divisible by 37963 (we have 37963 / 37963 = 1, so the remainder of this division is indeed zero)
• 75 926: indeed, 75 926 = 37963 × 2
• 113 889: indeed, 113 889 = 37963 × 3
• 151 852: indeed, 151 852 = 37963 × 4
• 189 815: indeed, 189 815 = 37963 × 5
• etc.

## Nearest numbers from 37963

Find out whether some integer is a prime number