65388 has 12 divisors (see below), whose sum is σ = 152600. Its totient is φ = 21792.

The previous prime is 65381. The next prime is 65393. The reversal of 65388 is 88356.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

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

65388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2713 + ... + 2736.

2⁶⁵³⁸⁸ is an apocalyptic number.

It is an amenable number.

65388 is an abundant number, since it is smaller than the sum of its proper divisors (87212).

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 (76300).

65388 is a wasteful number, since it uses less digits than its factorization.

65388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5454 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 65388 is about 255.7107741179. The cubic root of 65388 is about 40.2871010610.

It can be divided in two parts, 653 and 88, that added together give a triangular number (741 = T₃₈).

The spelling of 65388 in words is "sixty-five thousand, three hundred eighty-eight".