82386 has 24 divisors (see below), whose sum is σ = 187200. Its totient is φ = 26136.

The previous prime is 82373. The next prime is 82387. The reversal of 82386 is 68328.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82386.

It is not an unprimeable number, because it can be changed into a prime (82387) 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 11 ways as a sum of consecutive naturals, for example, 315 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2⁸²³⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

82386 is an abundant number, since it is smaller than the sum of its proper divisors (104814).

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

82386 is a wasteful number, since it uses less digits than its factorization.

82386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 82386 is about 287.0296151968. The cubic root of 82386 is about 43.5128776776.

It can be divided in two parts, 823 and 86, that added together give a palindrome (909).

The spelling of 82386 in words is "eighty-two thousand, three hundred eighty-six".