820712417 has 24 divisors (see below), whose sum is σ = 1016150400. Its totient is φ = 658627200.

The previous prime is 820712401. The next prime is 820712419. The reversal of 820712417 is 714217028.

It is a happy number.

820712417 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 820712417 - 2⁴ = 820712401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820712419) 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, 163292 + ... + 168242.

It is an arithmetic number, because the mean of its divisors is an integer number (42339600).

Almost surely, 2^820712417 is an apocalyptic number.

It is an amenable number.

820712417 is a deficient number, since it is larger than the sum of its proper divisors (195437983).

820712417 is a wasteful number, since it uses less digits than its factorization.

820712417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 820712417 is about 28648.0787662977. The cubic root of 820712417 is about 936.2611469835.

The spelling of 820712417 in words is "eight hundred twenty million, seven hundred twelve thousand, four hundred seventeen".