82236 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 21120.

The previous prime is 82231. The next prime is 82237. The reversal of 82236 is 63228.

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

It is a congruent number.

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

82236 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 880 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸²²³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

82236 is an abundant number, since it is smaller than the sum of its proper divisors (159684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82236 is a wasteful number, since it uses less digits than its factorization.

82236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

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

The square root of 82236 is about 286.7681990737. The cubic root of 82236 is about 43.4864537025.

Subtracting from 82236 its sum of digits (21), we obtain a triangular number (82215 = T₄₀₅).

82236 divided by its sum of digits (21) gives a triangular number (3916 = T₈₈).

It can be divided in two parts, 822 and 36, that multiplied together give a palindrome (29592).

The spelling of 82236 in words is "eighty-two thousand, two hundred thirty-six".