83886 has 32 divisors (see below), whose sum is σ = 193536. Its totient is φ = 24000.

The previous prime is 83873. The next prime is 83891. The reversal of 83886 is 68838.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

83886 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁸³⁸⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

83886 is an abundant number, since it is smaller than the sum of its proper divisors (109650).

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

83886 is a wasteful number, since it uses less digits than its factorization.

83886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 9216, while the sum is 33.

The square root of 83886 is about 289.6307994672. The cubic root of 83886 is about 43.7753703191.

It can be divided in two parts, 83 and 886, that added together give a palindrome (969).

The spelling of 83886 in words is "eighty-three thousand, eight hundred eighty-six".