83113 has 4 divisors (see below), whose sum is σ = 88020. Its totient is φ = 78208.

The previous prime is 83101. The next prime is 83117. The reversal of 83113 is 31138.

83113 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31138 = 2 ⋅15569.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 21609 = 248^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 83113 - 2⁹ = 82601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2428 + ... + 2461.

It is an arithmetic number, because the mean of its divisors is an integer number (22005).

2⁸³¹¹³ is an apocalyptic number.

It is an amenable number.

83113 is a deficient number, since it is larger than the sum of its proper divisors (4907).

83113 is a wasteful number, since it uses less digits than its factorization.

83113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906.

The product of its digits is 72, while the sum is 16.

The square root of 83113 is about 288.2932534764. The cubic root of 83113 is about 43.6404934801.

It can be divided in two parts, 83 and 113, that added together give a square (196 = 14²).

The spelling of 83113 in words is "eighty-three thousand, one hundred thirteen".