9985967617 has 4 divisors (see below), whose sum is σ = 10511544880. Its totient is φ = 9460390356.

The previous prime is 9985967611. The next prime is 9985967683. The reversal of 9985967617 is 7167695899.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 9985967617 - 2³ = 9985967609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9985967611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262788603 + ... + 262788640.

It is an arithmetic number, because the mean of its divisors is an integer number (2627886220).

Almost surely, 2^9985967617 is an apocalyptic number.

It is an amenable number.

9985967617 is a deficient number, since it is larger than the sum of its proper divisors (525577263).

9985967617 is a wasteful number, since it uses less digits than its factorization.

9985967617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525577262.

The product of its digits is 51438240, while the sum is 67.

The square root of 9985967617 is about 99929.8134542440. The cubic root of 9985967617 is about 2153.4264898791.

The spelling of 9985967617 in words is "nine billion, nine hundred eighty-five million, nine hundred sixty-seven thousand, six hundred seventeen".