233814 has 32 divisors (see below), whose sum is σ = 564480. Its totient is φ = 63072.

The previous prime is 233777. The next prime is 233837. The reversal of 233814 is 418332.

It is a happy number.

233814 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 (21).

It is an Ulam number.

It is a Curzon number.

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 233814.

It is an unprimeable number.

233814 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 15 ways as a sum of consecutive naturals, for example, 652 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2²³³⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

233814 is an abundant number, since it is smaller than the sum of its proper divisors (330666).

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

233814 is a wasteful number, since it uses less digits than its factorization.

233814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its digits is 576, while the sum is 21.

The square root of 233814 is about 483.5431728398. The cubic root of 233814 is about 61.6060698466.

The spelling of 233814 in words is "two hundred thirty-three thousand, eight hundred fourteen".