4006585 has 16 divisors (see below), whose sum is σ = 5306112. Its totient is φ = 2880000.

The previous prime is 4006571. The next prime is 4006589. The reversal of 4006585 is 5856004.

It is a de Polignac number, because none of the positive numbers 2^k-4006585 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006589) 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, 4960 + ... + 5710.

It is an arithmetic number, because the mean of its divisors is an integer number (331632).

Almost surely, 2^4006585 is an apocalyptic number.

It is an amenable number.

4006585 is a deficient number, since it is larger than the sum of its proper divisors (1299527).

4006585 is a wasteful number, since it uses less digits than its factorization.

4006585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 4006585 is about 2001.6455730224. The cubic root of 4006585 is about 158.8271660724.

The spelling of 4006585 in words is "four million, six thousand, five hundred eighty-five".