82506 has 8 divisors (see below), whose sum is σ = 165024. Its totient is φ = 27500.

The previous prime is 82499. The next prime is 82507. The reversal of 82506 is 60528.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

82506 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (82507) 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, 6870 + ... + 6881.

It is an arithmetic number, because the mean of its divisors is an integer number (20628).

2⁸²⁵⁰⁶ is an apocalyptic number.

82506 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82512).

82506 is a wasteful number, since it uses less digits than its factorization.

82506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13756.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82506 is about 287.2385767964. The cubic root of 82506 is about 43.5339937742.

It can be divided in two parts, 8250 and 6, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 82506 in words is "eighty-two thousand, five hundred six".