917133216 has 48 divisors (see below), whose sum is σ = 2410869888. Its totient is φ = 305280000.

The previous prime is 917133209. The next prime is 917133263. The reversal of 917133216 is 612331719.

917133216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×917133216² = 1682266671781005312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65736 + ... + 78456.

It is an arithmetic number, because the mean of its divisors is an integer number (50226456).

Almost surely, 2^917133216 is an apocalyptic number.

917133216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

917133216 is an abundant number, since it is smaller than the sum of its proper divisors (1493736672).

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

917133216 is a wasteful number, since it uses less digits than its factorization.

917133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485 (or 13477 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 917133216 is about 30284.2073695185. The cubic root of 917133216 is about 971.5775569483.

The spelling of 917133216 in words is "nine hundred seventeen million, one hundred thirty-three thousand, two hundred sixteen".