9217961984 has 156 divisors (see below), whose sum is σ = 23165065392. Its totient is φ = 3590062080.

The previous prime is 9217961897. The next prime is 9217961999. The reversal of 9217961984 is 4891697129.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3467984 + ... + 3470640.

Almost surely, 2^9217961984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9217961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582532696).

9217961984 is an abundant number, since it is smaller than the sum of its proper divisors (13947103408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9217961984 is a wasteful number, since it uses less digits than its factorization.

9217961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2677 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 56.

The square root of 9217961984 is about 96010.2181228644. The cubic root of 9217961984 is about 2096.7418852701.

The spelling of 9217961984 in words is "nine billion, two hundred seventeen million, nine hundred sixty-one thousand, nine hundred eighty-four".