65385 has 12 divisors (see below), whose sum is σ = 113412. Its totient is φ = 34848.

The previous prime is 65381. The next prime is 65393. The reversal of 65385 is 58356.

65385 is a `hidden beast` number, since 653 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 17424 = 219^2 + 132^2 .

It is not a de Polignac number, because 65385 - 2² = 65381 is a prime.

It is an Ulam number.

65385 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65385.

It is not an unprimeable number, because it can be changed into a prime (65381) 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, 682 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (9451).

2⁶⁵³⁸⁵ is an apocalyptic number.

It is an amenable number.

65385 is a deficient number, since it is larger than the sum of its proper divisors (48027).

65385 is a wasteful number, since it uses less digits than its factorization.

65385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1461 counting only the distinct ones).

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

The square root of 65385 is about 255.7049080483. The cubic root of 65385 is about 40.2864849278.

The spelling of 65385 in words is "sixty-five thousand, three hundred eighty-five".