4113985 has 8 divisors (see below), whose sum is σ = 4959720. Its totient is φ = 3275904.

The previous prime is 4113959. The next prime is 4113997. The reversal of 4113985 is 5893114.

4113985 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 4 ways, for example, as 906304 + 3207681 = 952^2 + 1791^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4113985 - 2¹³ = 4105793 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 652 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (619965).

Almost surely, 2^4113985 is an apocalyptic number.

It is an amenable number.

4113985 is a deficient number, since it is larger than the sum of its proper divisors (845735).

4113985 is a wasteful number, since it uses less digits than its factorization.

4113985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827.

The product of its digits is 4320, while the sum is 31.

The square root of 4113985 is about 2028.2960829228. The cubic root of 4113985 is about 160.2338377704.

The spelling of 4113985 in words is "four million, one hundred thirteen thousand, nine hundred eighty-five".