82583 has 4 divisors (see below), whose sum is σ = 83160. Its totient is φ = 82008.

The previous prime is 82571. The next prime is 82591. The reversal of 82583 is 38528.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82583 - 2⁴ = 82567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82183) 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, 116 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2⁸²⁵⁸³ is an apocalyptic number.

82583 is a deficient number, since it is larger than the sum of its proper divisors (577).

82583 is a wasteful number, since it uses less digits than its factorization.

82583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576.

The product of its digits is 1920, while the sum is 26.

The square root of 82583 is about 287.3725804596. The cubic root of 82583 is about 43.5475324876.

The spelling of 82583 in words is "eighty-two thousand, five hundred eighty-three".