9993 has 4 divisors (see below), whose sum is σ = 13328.
Its totient is φ = 6660.
The previous prime is 9973. The next prime is 10007. The reversal of 9993 is 3999.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.
It is not a de Polignac number, because 9993 - 26 = 9929 is a prime.
It is a D-number.
It is a Duffinian number.
It is a nialpdrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 9993.
It is not an unprimeable number, because it can be changed into a prime (9923) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1663 + ... + 1668.
It is an arithmetic number, because the mean of its divisors is an integer number (3332).
It is an amenable number.
9993 is a deficient number, since it is larger than the sum of its proper divisors (3335).
9993 is a wasteful number, since it uses less digits than its factorization.
9993 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3334.
The product of its digits is 2187, while the sum is 30.
The square root of 9993 is about 99.9649938729.
The cubic root of 9993 is about 21.5393187126.
The spelling of 9993 in words is "nine thousand, nine hundred ninety-three".