233893 has 6 divisors (see below), whose sum is σ = 257222. Its totient is φ = 212520.

The previous prime is 233881. The next prime is 233911. The reversal of 233893 is 398332.

It is a happy number.

233893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 20449 = 462^2 + 143^2 .

It is not a de Polignac number, because 233893 - 2⁵ = 233861 is a prime.

It is a Duffinian number.

Its product of digits (3888) is a multiple of the sum of its prime divisors (1944).

233893 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 846 + ... + 1087.

2²³³⁸⁹³ is an apocalyptic number.

It is an amenable number.

233893 is a deficient number, since it is larger than the sum of its proper divisors (23329).

233893 is a wasteful number, since it uses less digits than its factorization.

233893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1944 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 233893 is about 483.6248546136. The cubic root of 233893 is about 61.6130074572.

It can be divided in two parts, 23 and 3893, that added together give a triangular number (3916 = T₈₈).

The spelling of 233893 in words is "two hundred thirty-three thousand, eight hundred ninety-three".