819972133 has 12 divisors (see below), whose sum is σ = 845910912. Its totient is φ = 794804400.

The previous prime is 819972119. The next prime is 819972193. The reversal of 819972133 is 331279918.

819972133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 819972133 - 2²⁵ = 786417701 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 819972133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819972193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419308 + ... + 421258.

It is an arithmetic number, because the mean of its divisors is an integer number (70492576).

Almost surely, 2^819972133 is an apocalyptic number.

It is an amenable number.

819972133 is a deficient number, since it is larger than the sum of its proper divisors (25938779).

819972133 is a wasteful number, since it uses less digits than its factorization.

819972133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2295 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The square root of 819972133 is about 28635.1555434923. The cubic root of 819972133 is about 935.9795592518.

The spelling of 819972133 in words is "eight hundred nineteen million, nine hundred seventy-two thousand, one hundred thirty-three".