993315972 has 96 divisors (see below), whose sum is σ = 2669990400. Its totient is φ = 284256000.

The previous prime is 993315971. The next prime is 993315977. The reversal of 993315972 is 279513399.

It is not an unprimeable number, because it can be changed into a prime (993315971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1506979 + ... + 1507637.

It is an arithmetic number, because the mean of its divisors is an integer number (27812400).

Almost surely, 2^993315972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993315972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334995200).

993315972 is an abundant number, since it is smaller than the sum of its proper divisors (1676674428).

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

993315972 is a wasteful number, since it uses less digits than its factorization.

993315972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1295 counting only the distinct ones).

The product of its digits is 459270, while the sum is 48.

The square root of 993315972 is about 31516.9156485847. The cubic root of 993315972 is about 997.7670081254.

The spelling of 993315972 in words is "nine hundred ninety-three million, three hundred fifteen thousand, nine hundred seventy-two".