83856 has 20 divisors (see below), whose sum is σ = 216752. Its totient is φ = 27936.

The previous prime is 83843. The next prime is 83857. The reversal of 83856 is 65838.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83856.

It is not an unprimeable number, because it can be changed into a prime (83857) 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 3 ways as a sum of consecutive naturals, for example, 826 + ... + 921.

2⁸³⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

83856 is an abundant number, since it is smaller than the sum of its proper divisors (132896).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108376).

83856 is a wasteful number, since it uses less digits than its factorization.

83856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 83856 is about 289.5790047638. The cubic root of 83856 is about 43.7701512611.

It can be divided in two parts, 83 and 856, that added together give a palindrome (939).

The spelling of 83856 in words is "eighty-three thousand, eight hundred fifty-six".