53685 has 12 divisors (see below), whose sum is σ = 93132. Its totient is φ = 28608.

The previous prime is 53681. The next prime is 53693. The reversal of 53685 is 58635.

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 30276 = 153^2 + 174^2 .

It is not a de Polignac number, because 53685 - 2² = 53681 is a prime.

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 53685.

It is not an unprimeable number, because it can be changed into a prime (53681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 641.

It is an arithmetic number, because the mean of its divisors is an integer number (7761).

2⁵³⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

53685 is a deficient number, since it is larger than the sum of its proper divisors (39447).

53685 is a wasteful number, since it uses less digits than its factorization.

53685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1201 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53685 is about 231.7002373758. The cubic root of 53685 is about 37.7239927296.

Subtracting 53685 from its reverse (58635), we obtain a triangular number (4950 = T₉₉).

The spelling of 53685 in words is "fifty-three thousand, six hundred eighty-five".