65384 has 16 divisors (see below), whose sum is σ = 133920. Its totient is φ = 29680.

The previous prime is 65381. The next prime is 65393. The reversal of 65384 is 48356.

It is a plaindrome in base 15.

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 65384.

It is not an unprimeable number, because it can be changed into a prime (65381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2⁶⁵³⁸⁴ is an apocalyptic number.

It is an amenable number.

65384 is an abundant number, since it is smaller than the sum of its proper divisors (68536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

65384 is a wasteful number, since it uses less digits than its factorization.

65384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 756 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 65384 is about 255.7029526619. The cubic root of 65384 is about 40.2862795459.

It can be divided in two parts, 653 and 84, that added together give a palindrome (737).

The spelling of 65384 in words is "sixty-five thousand, three hundred eighty-four".