82800585 has 48 divisors (see below), whose sum is σ = 167865984. Its totient is φ = 36965376.

The previous prime is 82800583. The next prime is 82800623. The reversal of 82800585 is 58500828.

It is not a de Polignac number, because 82800585 - 2¹ = 82800583 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82800581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10489 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (3497208).

Almost surely, 2^82800585 is an apocalyptic number.

It is an amenable number.

82800585 is an abundant number, since it is smaller than the sum of its proper divisors (85065399).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82800585 is a wasteful number, since it uses less digits than its factorization.

82800585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6171 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 82800585 is about 9099.4826776032. The cubic root of 82800585 is about 435.8574446976.

The spelling of 82800585 in words is "eighty-two million, eight hundred thousand, five hundred eighty-five".