82521 has 12 divisors (see below), whose sum is σ = 122148. Its totient is φ = 53664.

The previous prime is 82507. The next prime is 82529. The reversal of 82521 is 12528.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 14400 = 261^2 + 120^2 .

It is not a de Polignac number, because 82521 - 2⁶ = 82457 is a prime.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 82494 and 82503.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (10179).

2⁸²⁵²¹ is an apocalyptic number.

It is an amenable number.

82521 is a deficient number, since it is larger than the sum of its proper divisors (39627).

82521 is a wasteful number, since it uses less digits than its factorization.

82521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 82521 is about 287.2646863086. The cubic root of 82521 is about 43.5366318464.

The spelling of 82521 in words is "eighty-two thousand, five hundred twenty-one".