819293085 has 48 divisors (see below), whose sum is σ = 1552247424. Its totient is φ = 397305216.

The previous prime is 819293081. The next prime is 819293093. The reversal of 819293085 is 580392918.

It is a happy number.

It is not a de Polignac number, because 819293085 - 2² = 819293081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 819293085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819293081) 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 47 ways as a sum of consecutive naturals, for example, 28744 + ... + 49646.

It is an arithmetic number, because the mean of its divisors is an integer number (32338488).

Almost surely, 2^819293085 is an apocalyptic number.

It is an amenable number.

819293085 is a deficient number, since it is larger than the sum of its proper divisors (732954339).

819293085 is a wasteful number, since it uses less digits than its factorization.

819293085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994 (or 20991 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 819293085 is about 28623.2961938348. The cubic root of 819293085 is about 935.7211152753.

The spelling of 819293085 in words is "eight hundred nineteen million, two hundred ninety-three thousand, eighty-five".