993311 has 8 divisors (see below), whose sum is σ = 1099344. Its totient is φ = 889920.

The previous prime is 993287. The next prime is 993319. The reversal of 993311 is 113399.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993311 - 2⁶ = 993247 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993311.

It is not an unprimeable number, because it can be changed into a prime (993319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 185 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (137418).

2⁹⁹³³¹¹ is an apocalyptic number.

993311 is a deficient number, since it is larger than the sum of its proper divisors (106033).

993311 is a wasteful number, since it uses less digits than its factorization.

993311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its digits is 729, while the sum is 26.

The square root of 993311 is about 996.6498883761. The cubic root of 993311 is about 99.7765343363.

The spelling of 993311 in words is "nine hundred ninety-three thousand, three hundred eleven".