993384324 has 135 divisors (see below), whose sum is σ = 2785690677. Its totient is φ = 308624256.

The previous prime is 993384289. The next prime is 993384347. The reversal of 993384324 is 423483399.

The square root of 993384324 is 31518.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 773396100 + 219988224 = 27810^2 + 14832^2 .

Its product of digits (559872) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 993384324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9644457 + ... + 9644559.

Almost surely, 2^993384324 is an apocalyptic number.

993384324 is the 31518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993384324

993384324 is an abundant number, since it is smaller than the sum of its proper divisors (1792306353).

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

993384324 is a wasteful number, since it uses less digits than its factorization.

993384324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 125 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The cubic root of 993384324 is about 997.7898936953.

The spelling of 993384324 in words is "nine hundred ninety-three million, three hundred eighty-four thousand, three hundred twenty-four".