112166 has 8 divisors (see below), whose sum is σ = 178200. Its totient is φ = 52768.

The previous prime is 112163. The next prime is 112181. The reversal of 112166 is 661211.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112163) 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, 1616 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2¹¹²¹⁶⁶ is an apocalyptic number.

112166 is a deficient number, since it is larger than the sum of its proper divisors (66034).

112166 is a wasteful number, since it uses less digits than its factorization.

112166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318.

The product of its digits is 72, while the sum is 17.

The square root of 112166 is about 334.9119287216. The cubic root of 112166 is about 48.2266480286.

Adding to 112166 its reverse (661211), we get a palindrome (773377).

It can be divided in two parts, 1 and 12166, that added together give a cube (12167 = 23³).

The spelling of 112166 in words is "one hundred twelve thousand, one hundred sixty-six".