820233 has 16 divisors (see below), whose sum is σ = 1287360. Its totient is φ = 514368.

The previous prime is 820231. The next prime is 820241. The reversal of 820233 is 332028.

It is not a de Polignac number, because 820233 - 2¹ = 820231 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (820231) 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, 435 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (80460).

2⁸²⁰²³³ is an apocalyptic number.

It is an amenable number.

820233 is a deficient number, since it is larger than the sum of its proper divisors (467127).

820233 is a wasteful number, since it uses less digits than its factorization.

820233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 820233 is about 905.6671574039. The cubic root of 820233 is about 93.6078806645.

The spelling of 820233 in words is "eight hundred twenty thousand, two hundred thirty-three".