82584006 has 8 divisors (see below), whose sum is σ = 165168024. Its totient is φ = 27528000.

The previous prime is 82583981. The next prime is 82584023. The reversal of 82584006 is 60048528.

It is a sphenic number, since it is the product of 3 distinct primes.

82584006 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6881995 + ... + 6882006.

It is an arithmetic number, because the mean of its divisors is an integer number (20646003).

Almost surely, 2^82584006 is an apocalyptic number.

82584006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

82584006 is a wasteful number, since it uses less digits than its factorization.

82584006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764006.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 82584006 is about 9087.5742637956. The cubic root of 82584006 is about 435.4770931432.

The spelling of 82584006 in words is "eighty-two million, five hundred eighty-four thousand, six".