233629 has 8 divisors (see below), whose sum is σ = 259488. Its totient is φ = 208560.

The previous prime is 233621. The next prime is 233641. The reversal of 233629 is 926332.

233629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 233629 - 2³ = 233621 is a prime.

It is a Duffinian number.

233629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233621) 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, 579 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (32436).

2²³³⁶²⁹ is an apocalyptic number.

It is an amenable number.

233629 is a deficient number, since it is larger than the sum of its proper divisors (25859).

233629 is a wasteful number, since it uses less digits than its factorization.

233629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its digits is 1944, while the sum is 25.

The square root of 233629 is about 483.3518387262. The cubic root of 233629 is about 61.5898174264.

The spelling of 233629 in words is "two hundred thirty-three thousand, six hundred twenty-nine".