9785643201 has 12 divisors (see below), whose sum is σ = 14167021440. Its totient is φ = 6508899000.

The previous prime is 9785643157. The next prime is 9785643221. The reversal of 9785643201 is 1023465879.

9785643201 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9785643201 - 2⁶ = 9785643137 is a prime.

9785643201 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (9785643221) 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, 1234425 + ... + 1242326.

It is an arithmetic number, because the mean of its divisors is an integer number (1180585120).

It is a 1-persistent number, because it is pandigital, but 2⋅9785643201 = 19571286402 is not.

Almost surely, 2^9785643201 is an apocalyptic number.

It is an amenable number.

9785643201 is a deficient number, since it is larger than the sum of its proper divisors (4381378239).

9785643201 is a wasteful number, since it uses less digits than its factorization.

9785643201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477196 (or 2477193 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9785643201 is about 98922.4100040026. The cubic root of 9785643201 is about 2138.9294439345.

The spelling of 9785643201 in words is "nine billion, seven hundred eighty-five million, six hundred forty-three thousand, two hundred one".