4117716 has 60 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1345680.

The previous prime is 4117709. The next prime is 4117727. The reversal of 4117716 is 6177114.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4117716.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 22915 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^4117716 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 4117716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

4117716 is an abundant number, since it is smaller than the sum of its proper divisors (6859404).

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

4117716 is a wasteful number, since it uses less digits than its factorization.

4117716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 4117716 is about 2029.2156120038. The cubic root of 4117716 is about 160.2822621743.

The spelling of 4117716 in words is "four million, one hundred seventeen thousand, seven hundred sixteen".