83876 has 12 divisors (see below), whose sum is σ = 158172. Its totient is φ = 38688.

The previous prime is 83873. The next prime is 83891. The reversal of 83876 is 67838.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 52900 = 176^2 + 230^2 .

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

It is not an unprimeable number, because it can be changed into a prime (83873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 755 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (13181).

2⁸³⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

83876 is a deficient number, since it is larger than the sum of its proper divisors (74296).

83876 is a wasteful number, since it uses less digits than its factorization.

83876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 83876 is about 289.6135355953. The cubic root of 83876 is about 43.7736307714.

It can be divided in two parts, 83 and 876, that added together give a palindrome (959).

The spelling of 83876 in words is "eighty-three thousand, eight hundred seventy-six".