821845096 has 32 divisors (see below), whose sum is σ = 1565166600. Its totient is φ = 404490240.

The previous prime is 821845091. The next prime is 821845109. The reversal of 821845096 is 690548128.

It is a happy number.

821845096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 735168996 + 86676100 = 27114^2 + 9310^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (821845091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384960 + ... + 387088.

Almost surely, 2^821845096 is an apocalyptic number.

It is an amenable number.

821845096 is a deficient number, since it is larger than the sum of its proper divisors (743321504).

821845096 is a wasteful number, since it uses less digits than its factorization.

821845096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 821845096 is about 28667.8407976604. The cubic root of 821845096 is about 936.6916655703.

The spelling of 821845096 in words is "eight hundred twenty-one million, eight hundred forty-five thousand, ninety-six".