8005813 has 4 divisors (see below), whose sum is σ = 8053920. Its totient is φ = 7957708.

The previous prime is 8005799. The next prime is 8005819. The reversal of 8005813 is 3185008.

8005813 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8005813 - 2⁹ = 8005301 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 (8005819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23803 + ... + 24136.

It is an arithmetic number, because the mean of its divisors is an integer number (2013480).

Almost surely, 2^8005813 is an apocalyptic number.

It is an amenable number.

8005813 is a deficient number, since it is larger than the sum of its proper divisors (48107).

8005813 is a wasteful number, since it uses less digits than its factorization.

8005813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48106.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 8005813 is about 2829.4545410732. The cubic root of 8005813 is about 200.0484299384.

The spelling of 8005813 in words is "eight million, five thousand, eight hundred thirteen".