993731052 has 96 divisors (see below), whose sum is σ = 2500485120. Its totient is φ = 306512640.

The previous prime is 993730999. The next prime is 993731059. The reversal of 993731052 is 250137399.

It is a self number, because there is not a number n which added to its sum of digits gives 993731052.

It is not an unprimeable number, because it can be changed into a prime (993731059) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 913653 + ... + 914739.

It is an arithmetic number, because the mean of its divisors is an integer number (26046720).

Almost surely, 2^993731052 is an apocalyptic number.

It is a pronic number, being equal to 31523×31524.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993731052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250242560).

993731052 is an abundant number, since it is smaller than the sum of its proper divisors (1506754068).

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

993731052 is a wasteful number, since it uses less digits than its factorization.

993731052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 993731052 is about 31523.4999960347. The cubic root of 993731052 is about 997.9059687606.

The spelling of 993731052 in words is "nine hundred ninety-three million, seven hundred thirty-one thousand, fifty-two".