82528 has 12 divisors (see below), whose sum is σ = 162540. Its totient is φ = 41248.

The previous prime is 82507. The next prime is 82529.

82528 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82529) by changing a digit.

82528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1258 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (13545).

2⁸²⁵²⁸ is an apocalyptic number.

It is an amenable number.

82528 is a deficient number, since it is larger than the sum of its proper divisors (80012).

82528 is a wasteful number, since it uses less digits than its factorization.

82528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2581 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 82528 is about 287.2768699356. The cubic root of 82528 is about 43.5378628373.

The spelling of 82528 in words is "eighty-two thousand, five hundred twenty-eight".