10917216 has 36 divisors (see below), whose sum is σ = 31046652. Its totient is φ = 3638976.

The previous prime is 10917211. The next prime is 10917271. The reversal of 10917216 is 61271901.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10917216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10917211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18666 + ... + 19241.

It is an arithmetic number, because the mean of its divisors is an integer number (862407).

Almost surely, 2^10917216 is an apocalyptic number.

10917216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10917216 is an abundant number, since it is smaller than the sum of its proper divisors (20129436).

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

10917216 is a wasteful number, since it uses less digits than its factorization.

10917216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37923 (or 37912 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 10917216 is about 3304.1210631573. The cubic root of 10917216 is about 221.8386946085.

The spelling of 10917216 in words is "ten million, nine hundred seventeen thousand, two hundred sixteen".