233406 has 12 divisors (see below), whose sum is σ = 505752. Its totient is φ = 77796.

The previous prime is 233371. The next prime is 233407. The reversal of 233406 is 604332.

233406 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), and also a Moran number because the ratio is a prime number: 12967 = 233406 / (2 + 3 + 3 + 4 + 0 + 6).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233407) by changing a digit.

233406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6466 + ... + 6501.

It is an arithmetic number, because the mean of its divisors is an integer number (42146).

2²³³⁴⁰⁶ is an apocalyptic number.

233406 is an abundant number, since it is smaller than the sum of its proper divisors (272346).

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

233406 is a wasteful number, since it uses less digits than its factorization.

233406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975 (or 12972 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233406 is about 483.1211028303. The cubic root of 233406 is about 61.5702152630.

Adding to 233406 its reverse (604332), we get a palindrome (837738).

The spelling of 233406 in words is "two hundred thirty-three thousand, four hundred six".