82735537284 has 36 divisors (see below), whose sum is σ = 209165924604. Its totient is φ = 27574705152.

The previous prime is 82735537273. The next prime is 82735537351. The reversal of 82735537284 is 48273553728.

82735537284 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 553 + 7 + 2 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57715257600 + 25020279684 = 240240^2 + 158178^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82735537284.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112084 + ... + 421940.

Almost surely, 2^82735537284 is an apocalyptic number.

It is an amenable number.

82735537284 is an abundant number, since it is smaller than the sum of its proper divisors (126430387320).

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

82735537284 is a wasteful number, since it uses less digits than its factorization.

82735537284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317284 (or 317279 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 82735537284 in words is "eighty-two billion, seven hundred thirty-five million, five hundred thirty-seven thousand, two hundred eighty-four".