112085 has 8 divisors (see below), whose sum is σ = 139320. Its totient is φ = 86464.

The previous prime is 112069. The next prime is 112087. The reversal of 112085 is 580211.

112085 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 111556 = 23^2 + 334^2 .

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 112085 - 2⁴ = 112069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112087) by changing a digit.

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, 242 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (17415).

2¹¹²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

112085 is a deficient number, since it is larger than the sum of its proper divisors (27235).

112085 is an equidigital number, since it uses as much as digits as its factorization.

112085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 112085 is about 334.7909795678. The cubic root of 112085 is about 48.2150363721.

Adding to 112085 its reverse (580211), we get a palindrome (692296).

The spelling of 112085 in words is "one hundred twelve thousand, eighty-five".