4005711 has 12 divisors (see below), whose sum is σ = 5820360. Its totient is φ = 2654640.

The previous prime is 4005691. The next prime is 4005733. The reversal of 4005711 is 1175004.

It is not a de Polignac number, because 4005711 - 2¹¹ = 4003663 is a prime.

4005711 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 2858.

It is an arithmetic number, because the mean of its divisors is an integer number (485030).

Almost surely, 2^4005711 is an apocalyptic number.

4005711 is a deficient number, since it is larger than the sum of its proper divisors (1814649).

4005711 is a wasteful number, since it uses less digits than its factorization.

4005711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 4005711 is about 2001.4272407460. The cubic root of 4005711 is about 158.8156163329.

The spelling of 4005711 in words is "four million, five thousand, seven hundred eleven".