82083 has 4 divisors (see below), whose sum is σ = 109448. Its totient is φ = 54720.

The previous prime is 82073. The next prime is 82129. The reversal of 82083 is 38028.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 82083 - 2⁴ = 82067 is a prime.

It is a D-number.

It is the 287-th Hogben number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82083.

It is not an unprimeable number, because it can be changed into a prime (82003) by changing a digit.

It is a nontrivial repunit in base 286.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13678 + ... + 13683.

It is an arithmetic number, because the mean of its divisors is an integer number (27362).

2⁸²⁰⁸³ is an apocalyptic number.

82083 is a deficient number, since it is larger than the sum of its proper divisors (27365).

82083 is a wasteful number, since it uses less digits than its factorization.

82083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27364.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82083 is about 286.5013088975. The cubic root of 82083 is about 43.4594681247.

It can be divided in two parts, 820 and 83, that added together give a triangular number (903 = T₄₂).

The spelling of 82083 in words is "eighty-two thousand, eighty-three".