112689 has 12 divisors (see below), whose sum is σ = 171600. Its totient is φ = 71064.

The previous prime is 112687. The next prime is 112691. The reversal of 112689 is 986211.

It is an interprime number because it is at equal distance from previous prime (112687) and next prime (112691).

It is not a de Polignac number, because 112689 - 2¹ = 112687 is a prime.

112689 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (112687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (14300).

2¹¹²⁶⁸⁹ is an apocalyptic number.

112689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

112689 is a deficient number, since it is larger than the sum of its proper divisors (58911).

112689 is a wasteful number, since it uses less digits than its factorization.

112689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 112689 is about 335.6918229567. The cubic root of 112689 is about 48.3014878083.

The spelling of 112689 in words is "one hundred twelve thousand, six hundred eighty-nine".