4205916 has 144 divisors (see below), whose sum is σ = 13453440. Its totient is φ = 1088640.

The previous prime is 4205911. The next prime is 4205917. The reversal of 4205916 is 6195024.

4205916 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4205916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97791 + ... + 97833.

Almost surely, 2^4205916 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 4205916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726720).

4205916 is an abundant number, since it is smaller than the sum of its proper divisors (9247524).

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

4205916 is a wasteful number, since it uses less digits than its factorization.

4205916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4205916 is about 2050.8330014899. The cubic root of 4205916 is about 161.4185833782.

It can be divided in two parts, 420 and 5916, that added together give a palindrome (6336).

The spelling of 4205916 in words is "four million, two hundred five thousand, nine hundred sixteen".