9876540321 has 6 divisors (see below), whose sum is σ = 14266113810. Its totient is φ = 6584360208.

The previous prime is 9876540299. The next prime is 9876540341. The reversal of 9876540321 is 1230456789.

9876540321 is a `hidden beast` number, since 9 + 8 + 76 + 540 + 32 + 1 = 666.

9876540321 is digitally balanced in base 3 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5192643600 + 4683896721 = 72060^2 + 68439^2 .

It is not a de Polignac number, because 9876540321 - 2⁶ = 9876540257 is a prime.

9876540321 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (9876540341) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 548696676 + ... + 548696693.

It is an arithmetic number, because the mean of its divisors is an integer number (2377685635).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9876540321 = 19753080642, but 3⋅9876540321 = 29629620963 is not.

Almost surely, 2^9876540321 is an apocalyptic number.

It is an amenable number.

9876540321 is a deficient number, since it is larger than the sum of its proper divisors (4389573489).

9876540321 is a wasteful number, since it uses less digits than its factorization.

9876540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097393375 (or 1097393372 counting only the distinct ones).

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

The square root of 9876540321 is about 99380.7844656098. The cubic root of 9876540321 is about 2145.5317566018.

The spelling of 9876540321 in words is "nine billion, eight hundred seventy-six million, five hundred forty thousand, three hundred twenty-one".