82584627841 has 4 divisors (see below), whose sum is σ = 82585237972. Its totient is φ = 82584017712.

The previous prime is 82584627817. The next prime is 82584627869. The reversal of 82584627841 is 14872648528.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 20650839616 + 61933788225 = 143704^2 + 248865^2 .

It is a cyclic number.

It is not a de Polignac number, because 82584627841 - 2¹⁷ = 82584496769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82584627871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1026 + ... + 406411.

It is an arithmetic number, because the mean of its divisors is an integer number (20646309493).

Almost surely, 2^82584627841 is an apocalyptic number.

It is an amenable number.

82584627841 is a deficient number, since it is larger than the sum of its proper divisors (610131).

82584627841 is a wasteful number, since it uses less digits than its factorization.

82584627841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610130.

The product of its digits is 6881280, while the sum is 55.

The spelling of 82584627841 in words is "eighty-two billion, five hundred eighty-four million, six hundred twenty-seven thousand, eight hundred forty-one".