820471617 has 24 divisors (see below), whose sum is σ = 1413320064. Its totient is φ = 448455744.

The previous prime is 820471609. The next prime is 820471657. The reversal of 820471617 is 716174028.

820471617 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 820471617 - 2³ = 820471609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820471607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281668 + ... + 284565.

It is an arithmetic number, because the mean of its divisors is an integer number (58888336).

Almost surely, 2^820471617 is an apocalyptic number.

It is an amenable number.

820471617 is a deficient number, since it is larger than the sum of its proper divisors (592848447).

820471617 is a wasteful number, since it uses less digits than its factorization.

820471617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566269 (or 566266 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 820471617 is about 28643.8757328683. The cubic root of 820471617 is about 936.1695705544.

The spelling of 820471617 in words is "eight hundred twenty million, four hundred seventy-one thousand, six hundred seventeen".