827867313 has 96 divisors (see below), whose sum is σ = 1559900160. Its totient is φ = 411143040.

The previous prime is 827867311. The next prime is 827867351. The reversal of 827867313 is 313768728.

827867313 is a `hidden beast` number, since 8 + 278 + 67 + 313 = 666.

It is not a de Polignac number, because 827867313 - 2¹ = 827867311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827867311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337118 + ... + 1337736.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^827867313 is an apocalyptic number.

It is an amenable number.

827867313 is a deficient number, since it is larger than the sum of its proper divisors (732032847).

827867313 is a wasteful number, since it uses less digits than its factorization.

827867313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 736 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 827867313 is about 28772.6834514961. The cubic root of 827867313 is about 938.9740250788.

The spelling of 827867313 in words is "eight hundred twenty-seven million, eight hundred sixty-seven thousand, three hundred thirteen".