112009 has 4 divisors (see below), whose sum is σ = 113220. Its totient is φ = 110800.

The previous prime is 111997. The next prime is 112019. The reversal of 112009 is 900211.

112009 is nontrivially palindromic in base 11.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 900211 = 13 ⋅69247.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 60025 = 228^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 112009 - 2⁵ = 111977 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454 + ... + 655.

It is an arithmetic number, because the mean of its divisors is an integer number (28305).

2¹¹²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

112009 is a deficient number, since it is larger than the sum of its proper divisors (1211).

112009 is a wasteful number, since it uses less digits than its factorization.

112009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 112009 is about 334.6774566654. The cubic root of 112009 is about 48.2041363966.

The spelling of 112009 in words is "one hundred twelve thousand, nine".