82210233 has 32 divisors (see below), whose sum is σ = 130056192. Its totient is φ = 45201600.

The previous prime is 82210231. The next prime is 82210241. The reversal of 82210233 is 33201228.

It is not a de Polignac number, because 82210233 - 2¹ = 82210231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82210231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190528 + ... + 190958.

It is an arithmetic number, because the mean of its divisors is an integer number (4064256).

Almost surely, 2^82210233 is an apocalyptic number.

It is an amenable number.

82210233 is a deficient number, since it is larger than the sum of its proper divisors (47845959).

82210233 is a wasteful number, since it uses less digits than its factorization.

82210233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 82210233 is about 9066.9858828610. The cubic root of 82210233 is about 434.8191135887.

The spelling of 82210233 in words is "eighty-two million, two hundred ten thousand, two hundred thirty-three".