827165916 has 36 divisors (see below), whose sum is σ = 2094425424. Its totient is φ = 275256000.

The previous prime is 827165909. The next prime is 827165921. The reversal of 827165916 is 619561728.

827165916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2521 + ... + 40751.

It is an arithmetic number, because the mean of its divisors is an integer number (58178484).

Almost surely, 2^827165916 is an apocalyptic number.

It is an amenable number.

827165916 is an abundant number, since it is smaller than the sum of its proper divisors (1267259508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827165916 is a wasteful number, since it uses less digits than its factorization.

827165916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38842 (or 38837 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 827165916 is about 28760.4922767327. The cubic root of 827165916 is about 938.7087733749.

The spelling of 827165916 in words is "eight hundred twenty-seven million, one hundred sixty-five thousand, nine hundred sixteen".