4113216 has 84 divisors (see below), whose sum is σ = 12171172. Its totient is φ = 1327104.

The previous prime is 4113211. The next prime is 4113233. The reversal of 4113216 is 6123114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2433600 + 1679616 = 1560^2 + 1296^2 .

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21216 + ... + 21408.

Almost surely, 2^4113216 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 4113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085586).

4113216 is an abundant number, since it is smaller than the sum of its proper divisors (8057956).

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

4113216 is a wasteful number, since it uses less digits than its factorization.

4113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

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

The square root of 4113216 is about 2028.1065060790. The cubic root of 4113216 is about 160.2238533311.

The spelling of 4113216 in words is "four million, one hundred thirteen thousand, two hundred sixteen".