82805585 has 16 divisors (see below), whose sum is σ = 103418640. Its totient is φ = 63571200.

The previous prime is 82805581. The next prime is 82805599. The reversal of 82805585 is 58550828.

It can be written as a sum of positive squares in 8 ways, for example, as 50176 + 82755409 = 224^2 + 9097^2 .

It is not a de Polignac number, because 82805585 - 2² = 82805581 is a prime.

It is a super-3 number, since 3×82805585³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82805581) 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, 23435 + ... + 26735.

It is an arithmetic number, because the mean of its divisors is an integer number (6463665).

Almost surely, 2^82805585 is an apocalyptic number.

It is an amenable number.

82805585 is a deficient number, since it is larger than the sum of its proper divisors (20613055).

82805585 is a wasteful number, since it uses less digits than its factorization.

82805585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508.

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 82805585 is about 9099.7574143490. The cubic root of 82805585 is about 435.8662177570.

The spelling of 82805585 in words is "eighty-two million, eight hundred five thousand, five hundred eighty-five".