53985 has 16 divisors (see below), whose sum is σ = 89280. Its totient is φ = 27840.

The previous prime is 53959. The next prime is 53987. The reversal of 53985 is 58935.

53985 = T₁₀₅ + T₁₀₆ + ... + T₁₁₃.

53985 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53985 - 2⁷ = 53857 is a prime.

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 53985.

It is not an unprimeable number, because it can be changed into a prime (53987) 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, 855 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁵³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

53985 is a deficient number, since it is larger than the sum of its proper divisors (35295).

53985 is a wasteful number, since it uses less digits than its factorization.

53985 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 5400, while the sum is 30.

The square root of 53985 is about 232.3467236696. The cubic root of 53985 is about 37.7941313920.

Subtracting 53985 from its reverse (58935), we obtain a triangular number (4950 = T₉₉).

The spelling of 53985 in words is "fifty-three thousand, nine hundred eighty-five".