4165105 has 16 divisors (see below), whose sum is σ = 5811840. Its totient is φ = 2806272.

The previous prime is 4165103. The next prime is 4165157. The reversal of 4165105 is 5015614.

It is not a de Polignac number, because 4165105 - 2¹ = 4165103 is a prime.

It is a super-2 number, since 2×4165105² = 34696199322050, which contains 22 as substring.

4165105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4165103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057 + ... + 3073.

It is an arithmetic number, because the mean of its divisors is an integer number (363240).

Almost surely, 2^4165105 is an apocalyptic number.

It is an amenable number.

4165105 is a deficient number, since it is larger than the sum of its proper divisors (1646735).

4165105 is a wasteful number, since it uses less digits than its factorization.

4165105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 4165105 is about 2040.8588878215. The cubic root of 4165105 is about 160.8947912876.

The spelling of 4165105 in words is "four million, one hundred sixty-five thousand, one hundred five".