112785 has 16 divisors (see below), whose sum is σ = 184704. Its totient is φ = 58752.

The previous prime is 112771. The next prime is 112787. The reversal of 112785 is 587211.

It is not a de Polignac number, because 112785 - 2⁷ = 112657 is a prime.

112785 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (112787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (11544).

2¹¹²⁷⁸⁵ is an apocalyptic number.

112785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112785 is a deficient number, since it is larger than the sum of its proper divisors (71919).

112785 is a wasteful number, since it uses less digits than its factorization.

112785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its digits is 560, while the sum is 24.

The square root of 112785 is about 335.8347808075. The cubic root of 112785 is about 48.3151999621.

Subtracting from 112785 its product of digits (560), we obtain a square (112225 = 335²).

Adding to 112785 its reverse (587211), we get a palindrome (699996).

The spelling of 112785 in words is "one hundred twelve thousand, seven hundred eighty-five".