9930 has 16 divisors (see below), whose sum is σ = 23904. Its totient is φ = 2640.

The previous prime is 9929. The next prime is 9931. The reversal of 9930 is 399.

9930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9929) and next prime (9931).

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9897 and 9906.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9930.

It is not an unprimeable number, because it can be changed into a prime (9931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (1494).

9930 is an abundant number, since it is smaller than the sum of its proper divisors (13974).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952).

9930 is a wasteful number, since it uses less digits than its factorization.

9930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 9930 is about 99.6493853468. The cubic root of 9930 is about 21.4939590023.

It can be divided in two parts, 9 and 930, that added together give a palindrome (939).

The spelling of 9930 in words is "nine thousand, nine hundred thirty".