993312 has 36 divisors (see below), whose sum is σ = 2825550. Its totient is φ = 331008.

The previous prime is 993287. The next prime is 993319. The reversal of 993312 is 213399.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 1296 = 996^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1437 + ... + 2012.

2⁹⁹³³¹² is an apocalyptic number.

It is an amenable number.

993312 is an abundant number, since it is smaller than the sum of its proper divisors (1832238).

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

993312 is a wasteful number, since it uses less digits than its factorization.

993312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3454 counting only the distinct ones).

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

The square root of 993312 is about 996.6503900566. The cubic root of 993312 is about 99.7765678191.

The spelling of 993312 in words is "nine hundred ninety-three thousand, three hundred twelve".