4311216 has 180 divisors, whose sum is σ = 15436512. Its totient is φ = 1112832.

The previous prime is 4311211. The next prime is 4311221. The reversal of 4311216 is 6121134.

It is a happy number.

4311216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4311211) and next prime (4311221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (144) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4311211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91705 + ... + 91751.

Almost surely, 2^4311216 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 4311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

4311216 is an abundant number, since it is smaller than the sum of its proper divisors (11125296).

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

4311216 is a wasteful number, since it uses less digits than its factorization.

4311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4311216 is about 2076.3467918438. The cubic root of 4311216 is about 162.7545957773.

The spelling of 4311216 in words is "four million, three hundred eleven thousand, two hundred sixteen".