233004 has 12 divisors (see below), whose sum is σ = 543704. Its totient is φ = 77664.

The previous prime is 232987. The next prime is 233021. The reversal of 233004 is 400332.

233004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232987) and next prime (233021).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 19417 = 233004 / (2 + 3 + 3 + 0 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9697 + ... + 9720.

2²³³⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

233004 is an abundant number, since it is smaller than the sum of its proper divisors (310700).

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

233004 is a wasteful number, since it uses less digits than its factorization.

233004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19424 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233004 is about 482.7048787821. The cubic root of 233004 is about 61.5348470633.

Adding to 233004 its reverse (400332), we get a palindrome (633336).

The spelling of 233004 in words is "two hundred thirty-three thousand, four".