Is 10037 a prime number? What are the divisors of 10037?

## Is 10037 a prime number?

Yes, 10037 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 10037, the only two divisors are 1 and 10037. Therefore 10037 is a prime number.

As a consequence, 10037 is only a multiple of 1 and 10037.

Since 10037 is a prime number, 10037 is also a deficient number, that is to say 10037 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 10037 without 10037 itself (that is 1, by definition!).

## Parity of 10037

10037 is an odd number, because it is not evenly divisible by 2.

## Is 10037 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 10037 is about 100.185.

Thus, the square root of 10037 is not an integer, and therefore 10037 is not a square number.

Anyway, 10037 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 10037?

The square of a number (here 10037) is the result of the product of this number (10037) by itself (i.e., 10037 × 10037); the square of 10037 is sometimes called "raising 10037 to the power 2", or "10037 squared".

The square of 10037 is 100 741 369 because 10037 × 10037 = 100372 = 100 741 369.

As a consequence, 10037 is the square root of 100 741 369.

## Number of digits of 10037

10037 is a number with 5 digits.

## What are the multiples of 10037?

The multiples of 10037 are all integers evenly divisible by 10037, that is all numbers such that the remainder of the division by 10037 is zero. There are infinitely many multiples of 10037. The smallest multiples of 10037 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10037 too, since 0 × 10037 = 0
• 10037: indeed, 10037 is a multiple of itself, since 10037 is evenly divisible by 10037 (we have 10037 / 10037 = 1, so the remainder of this division is indeed zero)
• 20 074: indeed, 20 074 = 10037 × 2
• 30 111: indeed, 30 111 = 10037 × 3
• 40 148: indeed, 40 148 = 10037 × 4
• 50 185: indeed, 50 185 = 10037 × 5
• etc.

## Nearest numbers from 10037

Find out whether some integer is a prime number