9993000 has 64 divisors (see below), whose sum is σ = 31187520. Its totient is φ = 2664000.

The previous prime is 9992963. The next prime is 9993019. The reversal of 9993000 is 3999.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335 + ... + 4665.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^9993000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593760).

9993000 is an abundant number, since it is smaller than the sum of its proper divisors (21194520).

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

9993000 is a wasteful number, since it uses less digits than its factorization.

9993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 9993000 is about 3161.1706692300. The cubic root of 9993000 is about 215.3931871262.

Adding to 9993000 its reverse (3999), we get a palindrome (9996999).

The spelling of 9993000 in words is "nine million, nine hundred ninety-three thousand".