233884 has 12 divisors (see below), whose sum is σ = 467824. Its totient is φ = 100224.

The previous prime is 233881. The next prime is 233911. The reversal of 233884 is 488332.

233884 = T₁₁₅ + T₁₁₆ + ... + T₁₄₂.

233884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

233884 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 8353 = 233884 / (2 + 3 + 3 + 8 + 8 + 4).

It is a d-powerful number, because it can be written as 2¹⁵ + 3⁸ + 8³ + 3¹¹ + 8³ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4149 + ... + 4204.

2²³³⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

233884 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

233884 is a wasteful number, since it uses less digits than its factorization.

233884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8362 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 233884 is about 483.6155497914. The cubic root of 233884 is about 61.6122171754.

The spelling of 233884 in words is "two hundred thirty-three thousand, eight hundred eighty-four".