813640977 has 16 divisors (see below), whose sum is σ = 1205988480. Its totient is φ = 542159856.

The previous prime is 813640943. The next prime is 813640979. The reversal of 813640977 is 779046318.

813640977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 813640977 - 2¹⁵ = 813608209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (813640979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59203 + ... + 71639.

It is an arithmetic number, because the mean of its divisors is an integer number (75374280).

Almost surely, 2^813640977 is an apocalyptic number.

It is an amenable number.

813640977 is a deficient number, since it is larger than the sum of its proper divisors (392347503).

813640977 is a wasteful number, since it uses less digits than its factorization.

813640977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14869 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 813640977 is about 28524.3926666283. The cubic root of 813640977 is about 933.5643756108.

The spelling of 813640977 in words is "eight hundred thirteen million, six hundred forty thousand, nine hundred seventy-seven".