8005017405 has 128 divisors (see below), whose sum is σ = 16723501056. Its totient is φ = 3170534400.

The previous prime is 8005017389. The next prime is 8005017413. The reversal of 8005017405 is 5047105008.

It is not a de Polignac number, because 8005017405 - 2⁴ = 8005017389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14371387 + ... + 14371943.

It is an arithmetic number, because the mean of its divisors is an integer number (130652352).

Almost surely, 2^8005017405 is an apocalyptic number.

It is an amenable number.

8005017405 is an abundant number, since it is smaller than the sum of its proper divisors (8718483651).

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

8005017405 is a wasteful number, since it uses less digits than its factorization.

8005017405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 8005017405 is about 89470.7628502183. The cubic root of 8005017405 is about 2000.4180297028.

The spelling of 8005017405 in words is "eight billion, five million, seventeen thousand, four hundred five".