86382 has 12 divisors (see below), whose sum is σ = 187200. Its totient is φ = 28788.

The previous prime is 86381. The next prime is 86389. The reversal of 86382 is 28368.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86382.

It is not an unprimeable number, because it can be changed into a prime (86381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2382 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2⁸⁶³⁸² is an apocalyptic number.

86382 is an abundant number, since it is smaller than the sum of its proper divisors (100818).

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

86382 is a wasteful number, since it uses less digits than its factorization.

86382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4804 counting only the distinct ones).

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

The square root of 86382 is about 293.9081489173. The cubic root of 86382 is about 44.2053077442.

The spelling of 86382 in words is "eighty-six thousand, three hundred eighty-two".