233051 has 12 divisors (see below), whose sum is σ = 289872. Its totient is φ = 183456.

The previous prime is 233021. The next prime is 233069. The reversal of 233051 is 150332.

It is not a de Polignac number, because 233051 - 2⁶ = 232987 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233051.

It is not an unprimeable number, because it can be changed into a prime (233021) 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 11 ways as a sum of consecutive naturals, for example, 1085 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (24156).

2²³³⁰⁵¹ is an apocalyptic number.

233051 is a deficient number, since it is larger than the sum of its proper divisors (56821).

233051 is a wasteful number, since it uses less digits than its factorization.

233051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 233051 is about 482.7535603183. The cubic root of 233051 is about 61.5389842504.

Adding to 233051 its reverse (150332), we get a palindrome (383383).

The spelling of 233051 in words is "two hundred thirty-three thousand, fifty-one".