8082585007 has 8 divisors (see below), whose sum is σ = 9240617376. Its totient is φ = 6925396992.

The previous prime is 8082584989. The next prime is 8082585023. The reversal of 8082585007 is 7005852808.

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

It is a cyclic number.

It is not a de Polignac number, because 8082585007 - 2²³ = 8074196399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082585067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190438 + ... + 228979.

It is an arithmetic number, because the mean of its divisors is an integer number (1155077172).

Almost surely, 2^8082585007 is an apocalyptic number.

8082585007 is a deficient number, since it is larger than the sum of its proper divisors (1158032369).

8082585007 is a wasteful number, since it uses less digits than its factorization.

8082585007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422177.

The product of its (nonzero) digits is 179200, while the sum is 43.

The square root of 8082585007 is about 89903.1979798272. The cubic root of 8082585007 is about 2006.8585372648.

The spelling of 8082585007 in words is "eight billion, eighty-two million, five hundred eighty-five thousand, seven".