4113585 has 40 divisors (see below), whose sum is σ = 8433216. Its totient is φ = 1879200.

The previous prime is 4113569. The next prime is 4113589. The reversal of 4113585 is 5853114.

4113585 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 4113585 - 2⁴ = 4113569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4113589) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2110 + ... + 3560.

Almost surely, 2^4113585 is an apocalyptic number.

4113585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4113585 is an abundant number, since it is smaller than the sum of its proper divisors (4319631).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4113585 is a wasteful number, since it uses less digits than its factorization.

4113585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1466 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 4113585 is about 2028.1974755926. The cubic root of 4113585 is about 160.2286444592.

Adding to 4113585 its reverse (5853114), we get a palindrome (9966699).

The spelling of 4113585 in words is "four million, one hundred thirteen thousand, five hundred eighty-five".