82566 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 24840.

The previous prime is 82561. The next prime is 82567. The reversal of 82566 is 66528.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁸²⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

82566 is an abundant number, since it is smaller than the sum of its proper divisors (119034).

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

82566 is a wasteful number, since it uses less digits than its factorization.

82566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 82566 is about 287.3430006108. The cubic root of 82566 is about 43.5445441452.

The spelling of 82566 in words is "eighty-two thousand, five hundred sixty-six".