82521205 has 16 divisors (see below), whose sum is σ = 106832880. Its totient is φ = 60830208.

The previous prime is 82521191. The next prime is 82521209. The reversal of 82521205 is 50212528.

It can be written as a sum of positive squares in 8 ways, for example, as 10712529 + 71808676 = 3273^2 + 8474^2 .

It is a cyclic number.

It is not a de Polignac number, because 82521205 - 2²⁵ = 48966773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82521205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82521209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66531 + ... + 67759.

It is an arithmetic number, because the mean of its divisors is an integer number (6677055).

Almost surely, 2^82521205 is an apocalyptic number.

It is an amenable number.

82521205 is a deficient number, since it is larger than the sum of its proper divisors (24311675).

82521205 is a wasteful number, since it uses less digits than its factorization.

82521205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 82521205 is about 9084.1182841264. The cubic root of 82521205 is about 435.3666789781.

The spelling of 82521205 in words is "eighty-two million, five hundred twenty-one thousand, two hundred five".