809832069 has 12 divisors (see below), whose sum is σ = 1170055692. Its totient is φ = 539750400.

The previous prime is 809832031. The next prime is 809832073. The reversal of 809832069 is 960238908.

It can be written as a sum of positive squares in 2 ways, for example, as 326271969 + 483560100 = 18063^2 + 21990^2 .

It is not a de Polignac number, because 809832069 - 2²⁸ = 541396613 is a prime.

It is a super-3 number, since 3×809832069³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809832019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36229 + ... + 54149.

It is an arithmetic number, because the mean of its divisors is an integer number (97504641).

Almost surely, 2^809832069 is an apocalyptic number.

It is an amenable number.

809832069 is a deficient number, since it is larger than the sum of its proper divisors (360223623).

809832069 is a wasteful number, since it uses less digits than its factorization.

809832069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22948 (or 22945 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 809832069 is about 28457.5485416436. The cubic root of 809832069 is about 932.1053274989.

The spelling of 809832069 in words is "eight hundred nine million, eight hundred thirty-two thousand, sixty-nine".