7985388321 has 15 divisors (see below), whose sum is σ = 11929991491. Its totient is φ = 5323056048.

The previous prime is 7985388311. The next prime is 7985388371. The reversal of 7985388321 is 1238835897.

The square root of 7985388321 is 89361.

It is a perfect power (a square), and thus also a powerful number.

7985388321 is a `hidden beast` number, since 7 + 9 + 8 + 538 + 83 + 21 = 666.

7985388321 is digitally balanced in base 3, because in such base 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., 1655594721 + 6329793600 = 40689^2 + 79560^2 .

It is not a de Polignac number, because 7985388321 - 2¹¹ = 7985386273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7985388311) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 799285 + ... + 809213.

Almost surely, 2^7985388321 is an apocalyptic number.

7985388321 is the 89361-st square number.

7985388321 is the 44681-st centered octagonal number.

It is an amenable number.

7985388321 is a deficient number, since it is larger than the sum of its proper divisors (3944603170).

7985388321 is an frugal number, since it uses more digits than its factorization.

7985388321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19870 (or 9932 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The cubic root of 7985388321 is about 1998.7816180067.

The spelling of 7985388321 in words is "seven billion, nine hundred eighty-five million, three hundred eighty-eight thousand, three hundred twenty-one".