4005705 has 24 divisors (see below), whose sum is σ = 7047936. Its totient is φ = 1941280.

The previous prime is 4005691. The next prime is 4005733. The reversal of 4005705 is 5075004.

It is not a de Polignac number, because 4005705 - 2¹⁰ = 4004681 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712 + ... + 2918.

It is an arithmetic number, because the mean of its divisors is an integer number (293664).

Almost surely, 2^4005705 is an apocalyptic number.

It is an amenable number.

4005705 is a deficient number, since it is larger than the sum of its proper divisors (3042231).

4005705 is a wasteful number, since it uses less digits than its factorization.

4005705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 4005705 is about 2001.4257418151. The cubic root of 4005705 is about 158.8155370383.

It can be divided in two parts, 400 and 5705, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 4005705 in words is "four million, five thousand, seven hundred five".