4165905 has 16 divisors (see below), whose sum is σ = 6704640. Its totient is φ = 2208768.

The previous prime is 4165849. The next prime is 4165927. The reversal of 4165905 is 5095614.

4165905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4165905 - 2⁹ = 4165393 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2176 + ... + 3614.

It is an arithmetic number, because the mean of its divisors is an integer number (419040).

Almost surely, 2^4165905 is an apocalyptic number.

It is an amenable number.

4165905 is a deficient number, since it is larger than the sum of its proper divisors (2538735).

4165905 is a wasteful number, since it uses less digits than its factorization.

4165905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 4165905 is about 2041.0548743236. The cubic root of 4165905 is about 160.9050917557.

The spelling of 4165905 in words is "four million, one hundred sixty-five thousand, nine hundred five".