827312961 has 4 divisors (see below), whose sum is σ = 1103083952. Its totient is φ = 551541972.

The previous prime is 827312929. The next prime is 827312963. The reversal of 827312961 is 169213728.

827312961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 827312961 - 2⁵ = 827312929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827312963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137885491 + ... + 137885496.

It is an arithmetic number, because the mean of its divisors is an integer number (275770988).

Almost surely, 2^827312961 is an apocalyptic number.

It is an amenable number.

827312961 is a deficient number, since it is larger than the sum of its proper divisors (275770991).

827312961 is a wasteful number, since it uses less digits than its factorization.

827312961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275770990.

The product of its digits is 36288, while the sum is 39.

The square root of 827312961 is about 28763.0485345347. The cubic root of 827312961 is about 938.7643947242.

The spelling of 827312961 in words is "eight hundred twenty-seven million, three hundred twelve thousand, nine hundred sixty-one".