4013085 has 16 divisors (see below), whose sum is σ = 6759360. Its totient is φ = 2027520.

The previous prime is 4013059. The next prime is 4013089. The reversal of 4013085 is 5803104.

It is not a de Polignac number, because 4013085 - 2⁶ = 4013021 is a prime.

It is a super-2 number, since 2×4013085² = 32209702434450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6756 + ... + 7325.

It is an arithmetic number, because the mean of its divisors is an integer number (422460).

Almost surely, 2^4013085 is an apocalyptic number.

It is an amenable number.

4013085 is a deficient number, since it is larger than the sum of its proper divisors (2746275).

4013085 is a wasteful number, since it uses less digits than its factorization.

4013085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14108.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4013085 is about 2003.2685790977. The cubic root of 4013085 is about 158.9130096521.

Adding to 4013085 its reverse (5803104), we get a palindrome (9816189).

It can be divided in two parts, 401 and 3085, that added together give a triangular number (3486 = T₈₃).

The spelling of 4013085 in words is "four million, thirteen thousand, eighty-five".