9982573965 has 288 divisors, whose sum is σ = 23152656384. Its totient is φ = 3884474880.

The previous prime is 9982573963. The next prime is 9982574023. The reversal of 9982573965 is 5693752899.

9982573965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9982573965 - 2¹ = 9982573963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982573963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37956424 + ... + 37956686.

It is an arithmetic number, because the mean of its divisors is an integer number (80391168).

Almost surely, 2^9982573965 is an apocalyptic number.

It is an amenable number.

9982573965 is an abundant number, since it is smaller than the sum of its proper divisors (13170082419).

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

9982573965 is a wasteful number, since it uses less digits than its factorization.

9982573965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The square root of 9982573965 is about 99912.8318335538. The cubic root of 9982573965 is about 2153.1825205946.

The spelling of 9982573965 in words is "nine billion, nine hundred eighty-two million, five hundred seventy-three thousand, nine hundred sixty-five".