813008205 has 16 divisors (see below), whose sum is σ = 1445348160. Its totient is φ = 433604304.

The previous prime is 813008179. The next prime is 813008249. The reversal of 813008205 is 502800318.

It is a happy number.

It is not a de Polignac number, because 813008205 - 2⁹ = 813007693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3011007 + ... + 3011276.

It is an arithmetic number, because the mean of its divisors is an integer number (90334260).

Almost surely, 2^813008205 is an apocalyptic number.

It is an amenable number.

813008205 is a deficient number, since it is larger than the sum of its proper divisors (632339955).

813008205 is a wasteful number, since it uses less digits than its factorization.

813008205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022297 (or 6022291 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 813008205 is about 28513.2987393602. The cubic root of 813008205 is about 933.3223005357.

The spelling of 813008205 in words is "eight hundred thirteen million, eight thousand, two hundred five".