993393 has 12 divisors (see below), whose sum is σ = 1497600. Its totient is φ = 633336.

The previous prime is 993367. The next prime is 993397. The reversal of 993393 is 393399.

993393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 993393 - 2⁸ = 993137 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2193 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (124800).

2⁹⁹³³⁹³ is an apocalyptic number.

It is an amenable number.

993393 is a deficient number, since it is larger than the sum of its proper divisors (504207).

993393 is a wasteful number, since it uses less digits than its factorization.

993393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4825 counting only the distinct ones).

The product of its digits is 19683, while the sum is 36.

The square root of 993393 is about 996.6910253434. The cubic root of 993393 is about 99.7792798513.

Subtracting from 993393 its product of digits (19683), we obtain a triangular number (973710 = T₁₃₉₅).

The spelling of 993393 in words is "nine hundred ninety-three thousand, three hundred ninety-three".