82588205 has 32 divisors (see below), whose sum is σ = 116563968. Its totient is φ = 55008000.

The previous prime is 82588199. The next prime is 82588211. The reversal of 82588205 is 50288528.

It is an interprime number because it is at equal distance from previous prime (82588199) and next prime (82588211).

It is not a de Polignac number, because 82588205 - 2⁴ = 82588189 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215444 + ... + 215826.

It is an arithmetic number, because the mean of its divisors is an integer number (3642624).

Almost surely, 2^82588205 is an apocalyptic number.

It is an amenable number.

82588205 is a deficient number, since it is larger than the sum of its proper divisors (33975763).

82588205 is a wasteful number, since it uses less digits than its factorization.

82588205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 51200, while the sum is 38.

The square root of 82588205 is about 9087.8052906078. The cubic root of 82588205 is about 435.4844736576.

The spelling of 82588205 in words is "eighty-two million, five hundred eighty-eight thousand, two hundred five".