819348972 has 48 divisors (see below), whose sum is σ = 2125304832. Its totient is φ = 243973440.

The previous prime is 819348953. The next prime is 819348991. The reversal of 819348972 is 279843918.

819348972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (819348953) and next prime (819348991).

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, 79878 + ... + 89549.

It is an arithmetic number, because the mean of its divisors is an integer number (44277184).

Almost surely, 2^819348972 is an apocalyptic number.

It is an amenable number.

819348972 is an abundant number, since it is smaller than the sum of its proper divisors (1305955860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

819348972 is a wasteful number, since it uses less digits than its factorization.

819348972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169478 (or 169476 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 819348972 is about 28624.2724274347. The cubic root of 819348972 is about 935.7423911199.

The spelling of 819348972 in words is "eight hundred nineteen million, three hundred forty-eight thousand, nine hundred seventy-two".