112635 has 12 divisors (see below), whose sum is σ = 195312. Its totient is φ = 60048.

The previous prime is 112621. The next prime is 112643. The reversal of 112635 is 536211.

It is not a de Polignac number, because 112635 - 2⁵ = 112603 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (16276).

2¹¹²⁶³⁵ is an apocalyptic number.

112635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112635 is a deficient number, since it is larger than the sum of its proper divisors (82677).

112635 is a wasteful number, since it uses less digits than its factorization.

112635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 112635 is about 335.6113824053. The cubic root of 112635 is about 48.2937712992.

Adding to 112635 its reverse (536211), we get a palindrome (648846).

It can be divided in two parts, 112 and 635, that added together give a palindrome (747).

The spelling of 112635 in words is "one hundred twelve thousand, six hundred thirty-five".