233013 has 16 divisors (see below), whose sum is σ = 354816. Its totient is φ = 134640.

The previous prime is 232987. The next prime is 233021. The reversal of 233013 is 310332.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-233013 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 233013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2²³³⁰¹³ is an apocalyptic number.

233013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233013 is a deficient number, since it is larger than the sum of its proper divisors (121803).

233013 is a wasteful number, since it uses less digits than its factorization.

233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 233013 is about 482.7142011584. The cubic root of 233013 is about 61.5356393337.

Adding to 233013 its reverse (310332), we get a palindrome (543345).

The spelling of 233013 in words is "two hundred thirty-three thousand, thirteen".