83864 has 16 divisors (see below), whose sum is σ = 171720. Its totient is φ = 38080.

The previous prime is 83857. The next prime is 83869. The reversal of 83864 is 46838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83869) by changing a digit.

83864 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 3 ways as a sum of consecutive naturals, for example, 389 + ... + 564.

2⁸³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

83864 is an abundant number, since it is smaller than the sum of its proper divisors (87856).

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 (85860).

83864 is a wasteful number, since it uses less digits than its factorization.

83864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 83864 is about 289.5928175905. The cubic root of 83864 is about 43.7715431316.

The spelling of 83864 in words is "eighty-three thousand, eight hundred sixty-four".