82527 has 4 divisors (see below), whose sum is σ = 110040. Its totient is φ = 55016.

The previous prime is 82507. The next prime is 82529. The reversal of 82527 is 72528.

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

It is a cyclic number.

It is not a de Polignac number, because 82527 - 2⁶ = 82463 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 82497 and 82506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529) 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, 13752 + ... + 13757.

It is an arithmetic number, because the mean of its divisors is an integer number (27510).

2⁸²⁵²⁷ is an apocalyptic number.

82527 is a deficient number, since it is larger than the sum of its proper divisors (27513).

82527 is a wasteful number, since it uses less digits than its factorization.

82527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27512.

The product of its digits is 1120, while the sum is 24.

The square root of 82527 is about 287.2751294491. The cubic root of 82527 is about 43.5376869857.

Subtracting from 82527 its reverse (72528), we obtain a palindrome (9999).

The spelling of 82527 in words is "eighty-two thousand, five hundred twenty-seven".