4959585 has 24 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 2629152.

The previous prime is 4959583. The next prime is 4959587. The reversal of 4959585 is 5859594.

It is an interprime number because it is at equal distance from previous prime (4959583) and next prime (4959587).

It is not a de Polignac number, because 4959585 - 2¹ = 4959583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a d-powerful number, because it can be written as 4⁶ + 9⁵ + 5⁶ + 9⁷ + 5⁶ + 8⁴ + 5⁷ .

4959585 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4959585.

It is not an unprimeable number, because it can be changed into a prime (4959583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13636 + ... + 13994.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^4959585 is an apocalyptic number.

4959585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4959585 is a deficient number, since it is larger than the sum of its proper divisors (3689055).

4959585 is a wasteful number, since it uses less digits than its factorization.

4959585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 4959585 is about 2227.0125729326. The cubic root of 4959585 is about 170.5356231985.

Subtracting 4959585 from its reverse (5859594), we obtain a palindrome (900009).

The spelling of 4959585 in words is "four million, nine hundred fifty-nine thousand, five hundred eighty-five".