827681009 has 8 divisors (see below), whose sum is σ = 862026048. Its totient is φ = 793966320.

The previous prime is 827681003. The next prime is 827681011. The reversal of 827681009 is 900186728.

827681009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827681009 - 2⁸ = 827680753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827681003) 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, 154907 + ... + 160160.

It is an arithmetic number, because the mean of its divisors is an integer number (107753256).

Almost surely, 2^827681009 is an apocalyptic number.

It is an amenable number.

827681009 is a deficient number, since it is larger than the sum of its proper divisors (34345039).

827681009 is a wasteful number, since it uses less digits than its factorization.

827681009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315175.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 827681009 is about 28769.4457541330. The cubic root of 827681009 is about 938.9035839432.

The spelling of 827681009 in words is "eight hundred twenty-seven million, six hundred eighty-one thousand, nine".