9954 has 24 divisors (see below), whose sum is σ = 24960. Its totient is φ = 2808.

The previous prime is 9949. The next prime is 9967. The reversal of 9954 is 4599.

It is a happy number.

9954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9954.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1040).

2⁹⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480).

9954 is an abundant number, since it is smaller than the sum of its proper divisors (15006).

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

9954 is a wasteful number, since it uses less digits than its factorization.

9954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 9954 is about 99.7697348899. The cubic root of 9954 is about 21.5112614521.

It can be divided in two parts, 995 and 4, that added together give a palindrome (999).

The spelling of 9954 in words is "nine thousand, nine hundred fifty-four".