8113 has 8 divisors (see below), whose sum is σ = 9920. Its totient is φ = 6480.

The previous prime is 8111. The next prime is 8117. The reversal of 8113 is 3118.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8113 - 2¹ = 8111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8093 and 8102.

It is not an unprimeable number, because it can be changed into a prime (8111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (1240).

It is an amenable number.

8113 is a deficient number, since it is larger than the sum of its proper divisors (1807).

8113 is a wasteful number, since it uses less digits than its factorization.

8113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87.

The product of its digits is 24, while the sum is 13.

The square root of 8113 is about 90.0721932674. The cubic root of 8113 is about 20.0937267454.

Subtracting from 8113 its sum of digits (13), we obtain a square (8100 = 90²).

It can be divided in two parts, 8 and 113, that added together give a palindrome (121).

The spelling of 8113 in words is "eight thousand, one hundred thirteen".