827999013 has 16 divisors (see below), whose sum is σ = 1130849280. Its totient is φ = 538600944.

The previous prime is 827998973. The next prime is 827999017. The reversal of 827999013 is 310999728.

It is not a de Polignac number, because 827999013 - 2⁶ = 827998949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827999017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147268 + ... + 152786.

It is an arithmetic number, because the mean of its divisors is an integer number (70678080).

Almost surely, 2^827999013 is an apocalyptic number.

It is an amenable number.

827999013 is a deficient number, since it is larger than the sum of its proper divisors (302850267).

827999013 is a wasteful number, since it uses less digits than its factorization.

827999013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728.

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 827999013 is about 28774.9719895607. The cubic root of 827999013 is about 939.0238141855.

The spelling of 827999013 in words is "eight hundred twenty-seven million, nine hundred ninety-nine thousand, thirteen".