113005 has 8 divisors (see below), whose sum is σ = 137592. Its totient is φ = 89088.

The previous prime is 112997. The next prime is 113011. The reversal of 113005 is 500311.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 110889 = 46^2 + 333^2 .

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 113005 - 2³ = 112997 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112982 and 113000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2¹¹³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

113005 is a deficient number, since it is larger than the sum of its proper divisors (24587).

113005 is an equidigital number, since it uses as much as digits as its factorization.

113005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 113005 is about 336.1621632486. The cubic root of 113005 is about 48.3465943267.

Adding to 113005 its reverse (500311), we get a palindrome (613316).

The spelling of 113005 in words is "one hundred thirteen thousand, five".