4116164 has 18 divisors (see below), whose sum is σ = 7801290. Its totient is φ = 1899456.

The previous prime is 4116163. The next prime is 4116169. The reversal of 4116164 is 4616114.

It can be written as a sum of positive squares in 3 ways, for example, as 84100 + 4032064 = 290^2 + 2008^2 .

It is not an unprimeable number, because it can be changed into a prime (4116163) 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 5 ways as a sum of consecutive naturals, for example, 2369 + ... + 3720.

It is an arithmetic number, because the mean of its divisors is an integer number (433405).

Almost surely, 2^4116164 is an apocalyptic number.

It is an amenable number.

4116164 is a deficient number, since it is larger than the sum of its proper divisors (3685126).

4116164 is a wasteful number, since it uses less digits than its factorization.

4116164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6104 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 4116164 is about 2028.8331621895. The cubic root of 4116164 is about 160.2621224228.

The spelling of 4116164 in words is "four million, one hundred sixteen thousand, one hundred sixty-four".