59985 has 24 divisors (see below), whose sum is σ = 109824. Its totient is φ = 30240.

The previous prime is 59981. The next prime is 59999. The reversal of 59985 is 58995.

59985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 59985 - 2² = 59981 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59985.

It is not an unprimeable number, because it can be changed into a prime (59981) 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, 1374 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (4576).

2⁵⁹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

59985 is a deficient number, since it is larger than the sum of its proper divisors (49839).

59985 is a wasteful number, since it uses less digits than its factorization.

59985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 59985 is about 244.9183537426. The cubic root of 59985 is about 39.1454137501.

Subtracting from 59985 its reverse (58995), we obtain a triangular number (990 = T₄₄).

The spelling of 59985 in words is "fifty-nine thousand, nine hundred eighty-five".