233313 has 8 divisors (see below), whose sum is σ = 315168. Its totient is φ = 153504.

The previous prime is 233297. The next prime is 233323. The reversal of 233313 is 313332.

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

It is not a de Polignac number, because 233313 - 2⁴ = 233297 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 233292 and 233301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233313.

It is not an unprimeable number, because it can be changed into a prime (233323) 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, 220 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (39396).

2²³³³¹³ is an apocalyptic number.

It is an amenable number.

233313 is a deficient number, since it is larger than the sum of its proper divisors (81855).

233313 is an equidigital number, since it uses as much as digits as its factorization.

233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023.

The product of its digits is 162, while the sum is 15.

The square root of 233313 is about 483.0248440815. The cubic root of 233313 is about 61.5620366804.

Adding to 233313 its reverse (313332), we get a palindrome (546645).

It can be divided in two parts, 2333 and 13, that added together give a triangular number (2346 = T₆₈).

The spelling of 233313 in words is "two hundred thirty-three thousand, three hundred thirteen".