82336 has 24 divisors (see below), whose sum is σ = 169344. Its totient is φ = 39360.

The previous prime is 82307. The next prime is 82339. The reversal of 82336 is 63328.

It is not an unprimeable number, because it can be changed into a prime (82339) by changing a digit.

82336 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 951 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁸²³³⁶ is an apocalyptic number.

82336 is the 166-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

82336 is an abundant number, since it is smaller than the sum of its proper divisors (87008).

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

82336 is a wasteful number, since it uses less digits than its factorization.

82336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 82336 is about 286.9425029514. The cubic root of 82336 is about 43.5040732523.

The spelling of 82336 in words is "eighty-two thousand, three hundred thirty-six".