233824 has 12 divisors (see below), whose sum is σ = 460404. Its totient is φ = 116896.

The previous prime is 233777. The next prime is 233837. The reversal of 233824 is 428332.

It is a d-powerful number, because it can be written as 2 + 3⁹ + 8⁵ + 3¹¹ + 2⁷ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 233795 and 233804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3622 + ... + 3685.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2²³³⁸²⁴ is an apocalyptic number.

It is an amenable number.

233824 is a deficient number, since it is larger than the sum of its proper divisors (226580).

233824 is an equidigital number, since it uses as much as digits as its factorization.

233824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7309 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 233824 is about 483.5535130676. The cubic root of 233824 is about 61.6069481115.

It can be divided in two parts, 23382 and 4, that multiplied together give a triangular number (93528 = T₄₃₂).

The spelling of 233824 in words is "two hundred thirty-three thousand, eight hundred twenty-four".