993330 has 64 divisors (see below), whose sum is σ = 2862720. Its totient is φ = 243648.

The previous prime is 993323. The next prime is 993341. The reversal of 993330 is 33399.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 993294 and 993303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3369 + ... + 3651.

It is an arithmetic number, because the mean of its divisors is an integer number (44730).

2⁹⁹³³³⁰ is an apocalyptic number.

993330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 993330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431360).

993330 is an abundant number, since it is smaller than the sum of its proper divisors (1869390).

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

993330 is a wasteful number, since it uses less digits than its factorization.

993330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 993330 is about 996.6594202635. The cubic root of 993330 is about 99.7771705056. Note that the first 3 decimals are identical.

It can be divided in two parts, 9 and 93330, that added together give a palindrome (93339).

The spelling of 993330 in words is "nine hundred ninety-three thousand, three hundred thirty".