93133216 has 72 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 41585280.

The previous prime is 93133177. The next prime is 93133247. The reversal of 93133216 is 61233139.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 259245 + ... + 259603.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^93133216 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 93133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

93133216 is an abundant number, since it is smaller than the sum of its proper divisors (111984704).

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

93133216 is a wasteful number, since it uses less digits than its factorization.

93133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

The square root of 93133216 is about 9650.5552171883. Note that the first 3 decimals coincide. The cubic root of 93133216 is about 453.2817146148.

The spelling of 93133216 in words is "ninety-three million, one hundred thirty-three thousand, two hundred sixteen".