4005873 has 6 divisors (see below), whose sum is σ = 5786274. Its totient is φ = 2670576.

The previous prime is 4005847. The next prime is 4005889. The reversal of 4005873 is 3785004.

It can be written as a sum of positive squares in only one way, i.e., 3908529 + 97344 = 1977^2 + 312^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4005873 is a prime.

It is a Curzon 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 5 ways as a sum of consecutive naturals, for example, 222540 + ... + 222557.

It is an arithmetic number, because the mean of its divisors is an integer number (964379).

Almost surely, 2^4005873 is an apocalyptic number.

It is an amenable number.

4005873 is a deficient number, since it is larger than the sum of its proper divisors (1780401).

4005873 is a wasteful number, since it uses less digits than its factorization.

4005873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445103 (or 445100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4005873 is about 2001.4677114558. The cubic root of 4005873 is about 158.8177572581.

The spelling of 4005873 in words is "four million, five thousand, eight hundred seventy-three".