827165073 has 64 divisors (see below), whose sum is σ = 1371064320. Its totient is φ = 432878592.

The previous prime is 827165051. The next prime is 827165089. The reversal of 827165073 is 370561728.

It is not a de Polignac number, because 827165073 - 2⁵ = 827165041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827165093) 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 63 ways as a sum of consecutive naturals, for example, 3643786 + ... + 3644012.

It is an arithmetic number, because the mean of its divisors is an integer number (21422880).

Almost surely, 2^827165073 is an apocalyptic number.

It is an amenable number.

827165073 is a deficient number, since it is larger than the sum of its proper divisors (543899247).

827165073 is a wasteful number, since it uses less digits than its factorization.

827165073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 827165073 is about 28760.4776212079. The cubic root of 827165073 is about 938.7084544821.

The spelling of 827165073 in words is "eight hundred twenty-seven million, one hundred sixty-five thousand, seventy-three".