4005891 has 12 divisors (see below), whose sum is σ = 5868720. Its totient is φ = 2632560.

The previous prime is 4005889. The next prime is 4005893. The reversal of 4005891 is 1985004.

It is an interprime number because it is at equal distance from previous prime (4005889) and next prime (4005893).

It is not a de Polignac number, because 4005891 - 2¹ = 4005889 is a prime.

4005891 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4005893) 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, 2496 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (489060).

Almost surely, 2^4005891 is an apocalyptic number.

4005891 is a deficient number, since it is larger than the sum of its proper divisors (1862829).

4005891 is a wasteful number, since it uses less digits than its factorization.

4005891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4005891 is about 2001.4722081508. The cubic root of 4005891 is about 158.8179951352.

The spelling of 4005891 in words is "four million, five thousand, eight hundred ninety-one".