813462977 has 2 divisors, whose sum is σ = 813462978. Its totient is φ = 813462976.

The previous prime is 813462917. The next prime is 813463003. The reversal of 813462977 is 779264318.

813462977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 759057601 + 54405376 = 27551^2 + 7376^2 .

It is a cyclic number.

It is not a de Polignac number, because 813462977 - 2¹⁴ = 813446593 is a prime.

It is not a weakly prime, because it can be changed into another prime (813462907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406731488 + 406731489.

It is an arithmetic number, because the mean of its divisors is an integer number (406731489).

Almost surely, 2^813462977 is an apocalyptic number.

It is an amenable number.

813462977 is a deficient number, since it is larger than the sum of its proper divisors (1).

813462977 is an equidigital number, since it uses as much as digits as its factorization.

813462977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The square root of 813462977 is about 28521.2723594162. The cubic root of 813462977 is about 933.4962921100.

The spelling of 813462977 in words is "eight hundred thirteen million, four hundred sixty-two thousand, nine hundred seventy-seven".