8205216417 has 12 divisors (see below), whose sum is σ = 11853578880. Its totient is φ = 5469406008.

The previous prime is 8205216401. The next prime is 8205216451. The reversal of 8205216417 is 7146125028.

8205216417 is a `hidden beast` number, since 8 + 2 + 0 + 5 + 2 + 1 + 641 + 7 = 666.

It is not a de Polignac number, because 8205216417 - 2⁴ = 8205216401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8205216497) 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, 13708 + ... + 128834.

It is an arithmetic number, because the mean of its divisors is an integer number (987798240).

Almost surely, 2^8205216417 is an apocalyptic number.

It is an amenable number.

8205216417 is a deficient number, since it is larger than the sum of its proper divisors (3648362463).

8205216417 is a wasteful number, since it uses less digits than its factorization.

8205216417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123052 (or 123049 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8205216417 is about 90582.6496466073. The cubic root of 8205216417 is about 2016.9571886289.

The spelling of 8205216417 in words is "eight billion, two hundred five million, two hundred sixteen thousand, four hundred seventeen".