814305385 has 8 divisors (see below), whose sum is σ = 977555016. Its totient is φ = 651185280.

The previous prime is 814305383. The next prime is 814305391. The reversal of 814305385 is 583503418.

It can be written as a sum of positive squares in 4 ways, for example, as 325585936 + 488719449 = 18044^2 + 22107^2 .

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

It is not a de Polignac number, because 814305385 - 2¹ = 814305383 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814305383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17964 + ... + 44173.

It is an arithmetic number, because the mean of its divisors is an integer number (122194377).

Almost surely, 2^814305385 is an apocalyptic number.

It is an amenable number.

814305385 is a deficient number, since it is larger than the sum of its proper divisors (163249631).

814305385 is a wasteful number, since it uses less digits than its factorization.

814305385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64763.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 814305385 is about 28536.0366028641. The cubic root of 814305385 is about 933.8184184052.

The spelling of 814305385 in words is "eight hundred fourteen million, three hundred five thousand, three hundred eighty-five".