65685 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 33600.

The previous prime is 65677. The next prime is 65687. The reversal of 65685 is 58656.

It is not a de Polignac number, because 65685 - 2³ = 65677 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁶⁵⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

65685 is a deficient number, since it is larger than the sum of its proper divisors (43755).

65685 is a wasteful number, since it uses less digits than its factorization.

65685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its digits is 7200, while the sum is 30.

The square root of 65685 is about 256.2908504024. The cubic root of 65685 is about 40.3480051958.

Subtracting from 65685 its product of digits (7200), we obtain a palindrome (58485).

It can be divided in two parts, 656 and 85, that added together give a triangular number (741 = T₃₈).

The spelling of 65685 in words is "sixty-five thousand, six hundred eighty-five".