48585 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 24960.

The previous prime is 48571. The next prime is 48589. The reversal of 48585 is 58584.

It is not a de Polignac number, because 48585 - 2⁹ = 48073 is a prime.

Its product of digits (6400) is a multiple of the sum of its prime divisors (128).

It is a Curzon number.

48585 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (48589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁴⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

48585 is a deficient number, since it is larger than the sum of its proper divisors (32055).

48585 is a wasteful number, since it uses less digits than its factorization.

48585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its digits is 6400, while the sum is 30.

The square root of 48585 is about 220.4200535342. The cubic root of 48585 is about 36.4894571414.

Subtracting 48585 from its reverse (58584), we obtain a palindrome (9999).

The spelling of 48585 in words is "forty-eight thousand, five hundred eighty-five".