59385 has 16 divisors (see below), whose sum is σ = 98496. Its totient is φ = 30528.

The previous prime is 59377. The next prime is 59387. The reversal of 59385 is 58395.

It is not a de Polignac number, because 59385 - 2³ = 59377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (59387) 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, 502 + ... + 608.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁵⁹³⁸⁵ is an apocalyptic number.

It is an amenable number.

59385 is a deficient number, since it is larger than the sum of its proper divisors (39111).

59385 is a wasteful number, since it uses less digits than its factorization.

59385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its digits is 5400, while the sum is 30.

The square root of 59385 is about 243.6903773234. The cubic root of 59385 is about 39.0144588072.

Subtracting from 59385 its reverse (58395), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 593 and 85, that multiplied together give a palindrome (50405).

The spelling of 59385 in words is "fifty-nine thousand, three hundred eighty-five".