233933 has 8 divisors (see below), whose sum is σ = 279168. Its totient is φ = 191664.

The previous prime is 233923. The next prime is 233939. The reversal of 233933 is 339332.

233933 is nontrivially palindromic in base 6.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233933 - 2⁴ = 233917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233899 and 233908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566 + ... + 887.

It is an arithmetic number, because the mean of its divisors is an integer number (34896).

2²³³⁹³³ is an apocalyptic number.

233933 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233933 is a deficient number, since it is larger than the sum of its proper divisors (45235).

233933 is a wasteful number, since it uses less digits than its factorization.

233933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483.

The product of its digits is 1458, while the sum is 23.

The square root of 233933 is about 483.6662072132. Note that the first 3 decimals coincide. The cubic root of 233933 is about 61.6165195758.

The spelling of 233933 in words is "two hundred thirty-three thousand, nine hundred thirty-three".