4107705 has 64 divisors (see below), whose sum is σ = 8294400. Its totient is φ = 1693440.

The previous prime is 4107689. The next prime is 4107707. The reversal of 4107705 is 5077014.

It is not a de Polignac number, because 4107705 - 2⁴ = 4107689 is a prime.

It is a Curzon number.

4107705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4107707) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57820 + ... + 57890.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 2^4107705 is an apocalyptic number.

It is an amenable number.

4107705 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4107705 is a wasteful number, since it uses less digits than its factorization.

4107705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 4107705 is about 2026.7473942255. The cubic root of 4107705 is about 160.1522639063.

The spelling of 4107705 in words is "four million, one hundred seven thousand, seven hundred five".