233112 has 32 divisors (see below), whose sum is σ = 636480. Its totient is φ = 70560.

The previous prime is 233083. The next prime is 233113. The reversal of 233112 is 211332.

It is a happy number.

233112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233113) by changing a digit.

233112 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 7 ways as a sum of consecutive naturals, for example, 178 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2²³³¹¹² is an apocalyptic number.

233112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233112 is an abundant number, since it is smaller than the sum of its proper divisors (403368).

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

233112 is a wasteful number, since it uses less digits than its factorization.

233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 233112 is about 482.8167354183. The cubic root of 233112 is about 61.5443529616.

Adding to 233112 its reverse (211332), we get a palindrome (444444).

It can be divided in two parts, 2331 and 12, that multiplied together give a palindrome (27972).

The spelling of 233112 in words is "two hundred thirty-three thousand, one hundred twelve".