993000 has 64 divisors (see below), whose sum is σ = 3107520. Its totient is φ = 264000.

The previous prime is 992983. The next prime is 993001. The reversal of 993000 is 399.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993000.

It is not an unprimeable number, because it can be changed into a prime (993001) by changing a digit.

993000 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2835 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (48555).

2⁹⁹³⁰⁰⁰ 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 993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553760).

993000 is an abundant number, since it is smaller than the sum of its proper divisors (2114520).

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

993000 is a wasteful number, since it uses less digits than its factorization.

993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

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

The square root of 993000 is about 996.4938534682. The cubic root of 993000 is about 99.7661200950.

Adding to 993000 its reverse (399), we get a palindrome (993399).

The spelling of 993000 in words is "nine hundred ninety-three thousand".