4416165 has 24 divisors (see below), whose sum is σ = 8244600. Its totient is φ = 2173824.

The previous prime is 4416163. The next prime is 4416187. The reversal of 4416165 is 5616144.

4416165 is a `hidden beast` number, since 4 + 41 + 616 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 4004001 = 642^2 + 2001^2 .

It is not a de Polignac number, because 4416165 - 2¹ = 4416163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3190 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (343525).

Almost surely, 2^4416165 is an apocalyptic number.

4416165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4416165 is a deficient number, since it is larger than the sum of its proper divisors (3828435).

4416165 is a wasteful number, since it uses less digits than its factorization.

4416165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7570 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4416165 is about 2101.4673445000. The cubic root of 4416165 is about 164.0646805152.

The spelling of 4416165 in words is "four million, four hundred sixteen thousand, one hundred sixty-five".