4135216 has 40 divisors (see below), whose sum is σ = 8865504. Its totient is φ = 1858560.

The previous prime is 4135211. The next prime is 4135237. The reversal of 4135216 is 6125314.

4135216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4135216² = 34200022733312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4135211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5926 + ... + 6586.

Almost surely, 2^4135216 is an apocalyptic number.

4135216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432752).

4135216 is an abundant number, since it is smaller than the sum of its proper divisors (4730288).

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

4135216 is a wasteful number, since it uses less digits than its factorization.

4135216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 4135216 is about 2033.5230512586. The cubic root of 4135216 is about 160.5090040012.

The spelling of 4135216 in words is "four million, one hundred thirty-five thousand, two hundred sixteen".