800233 has 4 divisors (see below), whose sum is σ = 914560. Its totient is φ = 685908.

The previous prime is 800231. The next prime is 800237. The reversal of 800233 is 332008.

800233 = 117² + 118² + ... + 158².

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 800233 - 2¹ = 800231 is a prime.

It is a Duffinian number.

800233 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (800231) 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 3 ways as a sum of consecutive naturals, for example, 57153 + ... + 57166.

It is an arithmetic number, because the mean of its divisors is an integer number (228640).

2⁸⁰⁰²³³ is an apocalyptic number.

It is an amenable number.

800233 is a deficient number, since it is larger than the sum of its proper divisors (114327).

800233 is a wasteful number, since it uses less digits than its factorization.

800233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114326.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 800233 is about 894.5574324771. The cubic root of 800233 is about 92.8407882158.

The spelling of 800233 in words is "eight hundred thousand, two hundred thirty-three".