9984006401 has 8 divisors (see below), whose sum is σ = 10081823400. Its totient is φ = 9886302720.

The previous prime is 9984006377. The next prime is 9984006421. The reversal of 9984006401 is 1046004899.

It is a Cunningham number, because it is equal to 99920²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 545689600 + 9438316801 = 23360^2 + 97151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9984006401 - 2¹⁴ = 9983990017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9984006421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154481 + ... + 209361.

It is an arithmetic number, because the mean of its divisors is an integer number (1260227925).

Almost surely, 2^9984006401 is an apocalyptic number.

It is an amenable number.

9984006401 is a deficient number, since it is larger than the sum of its proper divisors (97816999).

9984006401 is a wasteful number, since it uses less digits than its factorization.

9984006401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56659.

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 9984006401 is about 99920.0000050040. Note that the first 5 decimals coincide. The cubic root of 9984006401 is about 2153.2855050103.

The spelling of 9984006401 in words is "nine billion, nine hundred eighty-four million, six thousand, four hundred one".