820503947 has 8 divisors (see below), whose sum is σ = 828864000. Its totient is φ = 812173824.

The previous prime is 820503919. The next prime is 820503977. The reversal of 820503947 is 749305028.

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

It is a cyclic number.

It is not a de Polignac number, because 820503947 - 2⁶ = 820503883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820503947.

It is not an unprimeable number, because it can be changed into a prime (820503907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49829 + ... + 64217.

It is an arithmetic number, because the mean of its divisors is an integer number (103608000).

Almost surely, 2^820503947 is an apocalyptic number.

820503947 is a deficient number, since it is larger than the sum of its proper divisors (8360053).

820503947 is a wasteful number, since it uses less digits than its factorization.

820503947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14965.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 820503947 is about 28644.4400713297. The cubic root of 820503947 is about 936.1818667201.

The spelling of 820503947 in words is "eight hundred twenty million, five hundred three thousand, nine hundred forty-seven".