827944117 has 32 divisors (see below), whose sum is σ = 1114202880. Its totient is φ = 594155520.

The previous prime is 827944097. The next prime is 827944163. The reversal of 827944117 is 711449728.

It is not a de Polignac number, because 827944117 - 2⁷ = 827943989 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827924117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673059 + ... + 674287.

It is an arithmetic number, because the mean of its divisors is an integer number (34818840).

Almost surely, 2^827944117 is an apocalyptic number.

It is an amenable number.

827944117 is a deficient number, since it is larger than the sum of its proper divisors (286258763).

827944117 is a wasteful number, since it uses less digits than its factorization.

827944117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933.

The product of its digits is 112896, while the sum is 43.

The square root of 827944117 is about 28774.0180892416. The cubic root of 827944117 is about 939.0030614271.

The spelling of 827944117 in words is "eight hundred twenty-seven million, nine hundred forty-four thousand, one hundred seventeen".