233829 has 6 divisors (see below), whose sum is σ = 337766. Its totient is φ = 155880.

The previous prime is 233777. The next prime is 233837. The reversal of 233829 is 928332.

233829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 31329 = 450^2 + 177^2 .

It is not a de Polignac number, because 233829 - 2¹³ = 225637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12982 + ... + 12999.

2²³³⁸²⁹ is an apocalyptic number.

It is an amenable number.

233829 is a deficient number, since it is larger than the sum of its proper divisors (103937).

233829 is a wasteful number, since it uses less digits than its factorization.

233829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25987 (or 25984 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 233829 is about 483.5586830985. The cubic root of 233829 is about 61.6073872346.

The spelling of 233829 in words is "two hundred thirty-three thousand, eight hundred twenty-nine".