4105985 has 16 divisors (see below), whose sum is σ = 5350800. Its totient is φ = 3006720.

The previous prime is 4105979. The next prime is 4105999. The reversal of 4105985 is 5895014.

4105985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 891136 + 3214849 = 944^2 + 1793^2 .

It is not a de Polignac number, because 4105985 - 2¹⁸ = 3843841 is a prime.

It is a super-2 number, since 2×4105985² = 33718225640450, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11591 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (334425).

Almost surely, 2^4105985 is an apocalyptic number.

It is an amenable number.

4105985 is a deficient number, since it is larger than the sum of its proper divisors (1244815).

4105985 is a wasteful number, since it uses less digits than its factorization.

4105985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 4105985 is about 2026.3230245941. The cubic root of 4105985 is about 160.1299075175.

The spelling of 4105985 in words is "four million, one hundred five thousand, nine hundred eighty-five".