4117792 has 48 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 1704960.

The previous prime is 4117783. The next prime is 4117793. The reversal of 4117792 is 2977114.

4117792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4117793) 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, 6648 + ... + 7240.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

Almost surely, 2^4117792 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 4117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016).

4117792 is an abundant number, since it is smaller than the sum of its proper divisors (5462240).

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

4117792 is a wasteful number, since it uses less digits than its factorization.

4117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its digits is 3528, while the sum is 31.

The square root of 4117792 is about 2029.2343383651. The cubic root of 4117792 is about 160.2832482692.

The spelling of 4117792 in words is "four million, one hundred seventeen thousand, seven hundred ninety-two".