8005791 has 8 divisors (see below), whose sum is σ = 10687744. Its totient is φ = 5330520.

The previous prime is 8005757. The next prime is 8005799. The reversal of 8005791 is 1975008.

8005791 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8005791 - 2⁷ = 8005663 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 (8005799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2976 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (1335968).

Almost surely, 2^8005791 is an apocalyptic number.

8005791 is a deficient number, since it is larger than the sum of its proper divisors (2681953).

8005791 is a wasteful number, since it uses less digits than its factorization.

8005791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 8005791 is about 2829.4506533955. The cubic root of 8005791 is about 200.0482466937.

The spelling of 8005791 in words is "eight million, five thousand, seven hundred ninety-one".