233823 has 8 divisors (see below), whose sum is σ = 319536. Its totient is φ = 152000.

The previous prime is 233777. The next prime is 233837. The reversal of 233823 is 328332.

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 233823 - 2⁶ = 233759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (39942).

2²³³⁸²³ is an apocalyptic number.

233823 is a deficient number, since it is larger than the sum of its proper divisors (85713).

233823 is a wasteful number, since it uses less digits than its factorization.

233823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its digits is 864, while the sum is 21.

The square root of 233823 is about 483.5524790548. The cubic root of 233823 is about 61.6068602862.

The spelling of 233823 in words is "two hundred thirty-three thousand, eight hundred twenty-three".