4101916 has 48 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 1586880.

The previous prime is 4101907. The next prime is 4101919. The reversal of 4101916 is 6191014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21381 + ... + 21571.

It is an arithmetic number, because the mean of its divisors is an integer number (188160).

Almost surely, 2^4101916 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 4101916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

4101916 is an abundant number, since it is smaller than the sum of its proper divisors (4929764).

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

4101916 is a wasteful number, since it uses less digits than its factorization.

4101916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 4101916 is about 2025.3187403468. The cubic root of 4101916 is about 160.0769941934.

The spelling of 4101916 in words is "four million, one hundred one thousand, nine hundred sixteen".