8120584971 has 12 divisors (see below), whose sum is σ = 12347088520. Its totient is φ = 5128790400.

The previous prime is 8120584963. The next prime is 8120584981. The reversal of 8120584971 is 1794850218.

It is not a de Polignac number, because 8120584971 - 2³ = 8120584963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8120584921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23744230 + ... + 23744571.

Almost surely, 2^8120584971 is an apocalyptic number.

8120584971 is a deficient number, since it is larger than the sum of its proper divisors (4226503549).

8120584971 is a wasteful number, since it uses less digits than its factorization.

8120584971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47488826 (or 47488823 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8120584971 is about 90114.2883842513. The cubic root of 8120584971 is about 2009.9986775071.

It can be divided in two parts, 81205 and 84971, that added together give a triangular number (166176 = T₅₇₆).

The spelling of 8120584971 in words is "eight billion, one hundred twenty million, five hundred eighty-four thousand, nine hundred seventy-one".