82505 has 8 divisors (see below), whose sum is σ = 102600. Its totient is φ = 63616.

The previous prime is 82499. The next prime is 82507. The reversal of 82505 is 50528.

It can be written as a sum of positive squares in 4 ways, for example, as 1849 + 80656 = 43^2 + 284^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82505 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 140 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2⁸²⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

82505 is a deficient number, since it is larger than the sum of its proper divisors (20095).

82505 is a wasteful number, since it uses less digits than its factorization.

82505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 82505 is about 287.2368360778. The cubic root of 82505 is about 43.5338178914.

The spelling of 82505 in words is "eighty-two thousand, five hundred five".