827957073 has 16 divisors (see below), whose sum is σ = 1115136000. Its totient is φ = 546396240.

The previous prime is 827957071. The next prime is 827957077. The reversal of 827957073 is 370759728.

It is not a de Polignac number, because 827957073 - 2¹ = 827957071 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827957071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170128 + ... + 174926.

It is an arithmetic number, because the mean of its divisors is an integer number (69696000).

Almost surely, 2^827957073 is an apocalyptic number.

It is an amenable number.

827957073 is a deficient number, since it is larger than the sum of its proper divisors (287178927).

827957073 is a wasteful number, since it uses less digits than its factorization.

827957073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372.

The product of its (nonzero) digits is 740880, while the sum is 48.

The square root of 827957073 is about 28774.2432220206. The cubic root of 827957073 is about 939.0079593664.

The spelling of 827957073 in words is "eight hundred twenty-seven million, nine hundred fifty-seven thousand, seventy-three".