233712 has 40 divisors (see below), whose sum is σ = 672080. Its totient is φ = 77760.

The previous prime is 233693. The next prime is 233713. The reversal of 233712 is 217332.

233712 is digitally balanced in base 3, 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 (18).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233712.

It is not an unprimeable number, because it can be changed into a prime (233713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (16802).

2²³³⁷¹² 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 233712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336040).

233712 is an abundant number, since it is smaller than the sum of its proper divisors (438368).

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

233712 is a wasteful number, since it uses less digits than its factorization.

233712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 233712 is about 483.4376898836. The cubic root of 233712 is about 61.5971101135.

The spelling of 233712 in words is "two hundred thirty-three thousand, seven hundred twelve".