819945933 has 16 divisors (see below), whose sum is σ = 1112580096. Its totient is φ = 537015600.

The previous prime is 819945911. The next prime is 819945949. The reversal of 819945933 is 339549918.

It is a happy number.

It is not a de Polignac number, because 819945933 - 2⁵ = 819945901 is a prime.

It is a super-2 number, since 2×819945933² = 1344622666086480978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819945983) 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 15 ways as a sum of consecutive naturals, for example, 71658 + ... + 82308.

It is an arithmetic number, because the mean of its divisors is an integer number (69536256).

Almost surely, 2^819945933 is an apocalyptic number.

It is an amenable number.

819945933 is a deficient number, since it is larger than the sum of its proper divisors (292634163).

819945933 is a wasteful number, since it uses less digits than its factorization.

819945933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104.

The product of its digits is 1049760, while the sum is 51.

The square root of 819945933 is about 28634.6980602206. The cubic root of 819945933 is about 935.9695902440.

The spelling of 819945933 in words is "eight hundred nineteen million, nine hundred forty-five thousand, nine hundred thirty-three".