9725984417 has 16 divisors (see below), whose sum is σ = 10122604800. Its totient is φ = 9333636480.

The previous prime is 9725984381. The next prime is 9725984431. The reversal of 9725984417 is 7144895279.

It is a happy number.

9725984417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9725984417 - 2¹⁴ = 9725968033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9725980417) 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, 3639992 + ... + 3642662.

It is an arithmetic number, because the mean of its divisors is an integer number (632662800).

Almost surely, 2^9725984417 is an apocalyptic number.

It is an amenable number.

9725984417 is a deficient number, since it is larger than the sum of its proper divisors (396620383).

9725984417 is a wasteful number, since it uses less digits than its factorization.

9725984417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416.

The product of its digits is 5080320, while the sum is 56.

The square root of 9725984417 is about 98620.4056825969. The cubic root of 9725984417 is about 2134.5738749946.

The spelling of 9725984417 in words is "nine billion, seven hundred twenty-five million, nine hundred eighty-four thousand, four hundred seventeen".