59885 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 38976.

The previous prime is 59879. The next prime is 59887. The reversal of 59885 is 58895.

It is not a de Polignac number, because 59885 - 2⁸ = 59629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

Its product of digits (14400) is a multiple of the sum of its prime divisors (100).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59885.

It is not an unprimeable number, because it can be changed into a prime (59887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁵⁹⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

59885 is a deficient number, since it is larger than the sum of its proper divisors (26515).

59885 is a wasteful number, since it uses less digits than its factorization.

59885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

The product of its digits is 14400, while the sum is 35.

The square root of 59885 is about 244.7141189225. The cubic root of 59885 is about 39.1236487606.

59885 divided by its sum of digits (35) gives a triangular number (1711 = T₅₈).

Subtracting from 59885 its reverse (58895), we obtain a triangular number (990 = T₄₄).

The spelling of 59885 in words is "fifty-nine thousand, eight hundred eighty-five".