8384217505 has 16 divisors (see below), whose sum is σ = 10714484304. Its totient is φ = 6276321280.

The previous prime is 8384217503. The next prime is 8384217553. The reversal of 8384217505 is 5057124838.

8384217505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 87011584 + 8297205921 = 9328^2 + 91089^2 .

It is not a de Polignac number, because 8384217505 - 2¹ = 8384217503 is a prime.

It is a super-2 number, since 2×8384217505² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8384217503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270376 + ... + 299785.

It is an arithmetic number, because the mean of its divisors is an integer number (669655269).

Almost surely, 2^8384217505 is an apocalyptic number.

8384217505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8384217505 is a deficient number, since it is larger than the sum of its proper divisors (2330266799).

8384217505 is a wasteful number, since it uses less digits than its factorization.

8384217505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570356.

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 8384217505 is about 91565.3728491289. The cubic root of 8384217505 is about 2031.5187987568.

The spelling of 8384217505 in words is "eight billion, three hundred eighty-four million, two hundred seventeen thousand, five hundred five".