993321000 has 192 divisors, whose sum is σ = 3837300480. Its totient is φ = 227030400.

The previous prime is 993320947. The next prime is 993321023. The reversal of 993321000 is 123399.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55117 + ... + 70883.

It is an arithmetic number, because the mean of its divisors is an integer number (19985940).

Almost surely, 2^993321000 is an apocalyptic number.

993321000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918650240).

993321000 is an abundant number, since it is smaller than the sum of its proper divisors (2843979480).

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

993321000 is a wasteful number, since it uses less digits than its factorization.

993321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15801 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 993321000 is about 31516.9954151724. The cubic root of 993321000 is about 997.7686916327.

Adding to 993321000 its reverse (123399), we get a palindrome (993444399).

The spelling of 993321000 in words is "nine hundred ninety-three million, three hundred twenty-one thousand".