82233 has 6 divisors (see below), whose sum is σ = 118794. Its totient is φ = 54816.

The previous prime is 82231. The next prime is 82237. The reversal of 82233 is 33228.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 36864 = 213^2 + 192^2 .

It is not a de Polignac number, because 82233 - 2¹ = 82231 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4560 + ... + 4577.

It is an arithmetic number, because the mean of its divisors is an integer number (19799).

2⁸²²³³ is an apocalyptic number.

It is an amenable number.

82233 is a deficient number, since it is larger than the sum of its proper divisors (36561).

82233 is a wasteful number, since it uses less digits than its factorization.

82233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9140 counting only the distinct ones).

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

The square root of 82233 is about 286.7629683205. The cubic root of 82233 is about 43.4859248953.

Subtracting from 82233 its sum of digits (18), we obtain a triangular number (82215 = T₄₀₅).

The spelling of 82233 in words is "eighty-two thousand, two hundred thirty-three".