827714313 has 12 divisors (see below), whose sum is σ = 1195844208. Its totient is φ = 551691000.

The previous prime is 827714299. The next prime is 827714323. The reversal of 827714313 is 313417728.

827714313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827714313 - 2⁶ = 827714249 is a prime.

It is a super-2 number, since 2×827714313² = 1370221967890123938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (827714323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61438 + ... + 73688.

It is an arithmetic number, because the mean of its divisors is an integer number (99653684).

Almost surely, 2^827714313 is an apocalyptic number.

It is an amenable number.

827714313 is a deficient number, since it is larger than the sum of its proper divisors (368129895).

827714313 is a wasteful number, since it uses less digits than its factorization.

827714313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19764 (or 19761 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 827714313 is about 28770.0245568196. The cubic root of 827714313 is about 938.9161768887.

The spelling of 827714313 in words is "eight hundred twenty-seven million, seven hundred fourteen thousand, three hundred thirteen".