9685008001 has 16 divisors (see below), whose sum is σ = 10596593664. Its totient is φ = 8814438144.

The previous prime is 9685007999. The next prime is 9685008019. The reversal of 9685008001 is 1008005869.

It is a cyclic number.

It is not a de Polignac number, because 9685008001 - 2¹ = 9685007999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9685008031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55296 + ... + 149758.

It is an arithmetic number, because the mean of its divisors is an integer number (662287104).

Almost surely, 2^9685008001 is an apocalyptic number.

It is an amenable number.

9685008001 is a deficient number, since it is larger than the sum of its proper divisors (911585663).

9685008001 is a wasteful number, since it uses less digits than its factorization.

9685008001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94680.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 9685008001 is about 98412.4382433440. The cubic root of 9685008001 is about 2131.5719402713.

The spelling of 9685008001 in words is "nine billion, six hundred eighty-five million, eight thousand, one".