83076 has 48 divisors (see below), whose sum is σ = 236544. Its totient is φ = 22176.

The previous prime is 83071. The next prime is 83077. The reversal of 83076 is 67038.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (83071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (4928).

2⁸³⁰⁷⁶ is an apocalyptic number.

83076 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118272).

83076 is an abundant number, since it is smaller than the sum of its proper divisors (153468).

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

83076 is a wasteful number, since it uses less digits than its factorization.

83076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 83076 is about 288.2290755632. The cubic root of 83076 is about 43.6340166036.

The spelling of 83076 in words is "eighty-three thousand, seventy-six".