827932113 has 18 divisors (see below), whose sum is σ = 1270391174. Its totient is φ = 519485184.

The previous prime is 827932111. The next prime is 827932117. The reversal of 827932113 is 311239728.

It can be written as a sum of positive squares in 3 ways, for example, as 301091904 + 526840209 = 17352^2 + 22953^2 .

It is not a de Polignac number, because 827932113 - 2¹ = 827932111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827932111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156556 + ... + 161757.

Almost surely, 2^827932113 is an apocalyptic number.

It is an amenable number.

827932113 is a deficient number, since it is larger than the sum of its proper divisors (442459061).

827932113 is a wasteful number, since it uses less digits than its factorization.

827932113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318353 (or 318333 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 827932113 is about 28773.8094975274. The cubic root of 827932113 is about 938.9985233401.

The spelling of 827932113 in words is "eight hundred twenty-seven million, nine hundred thirty-two thousand, one hundred thirteen".