166112 has 24 divisors (see below), whose sum is σ = 340200. Its totient is φ = 79744.

The previous prime is 166099. The next prime is 166147. The reversal of 166112 is 211661.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

166112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 839 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2¹⁶⁶¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170100).

166112 is an abundant number, since it is smaller than the sum of its proper divisors (174088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166112 is a wasteful number, since it uses less digits than its factorization.

166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

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

The square root of 166112 is about 407.5683991676. The cubic root of 166112 is about 54.9710039997.

Adding to 166112 its reverse (211661), we get a palindrome (377773).

The spelling of 166112 in words is "one hundred sixty-six thousand, one hundred twelve".