65382 has 16 divisors (see below), whose sum is σ = 138672. Its totient is φ = 20480.

The previous prime is 65381. The next prime is 65393. The reversal of 65382 is 28356.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (8667).

2⁶⁵³⁸² is an apocalyptic number.

65382 is an abundant number, since it is smaller than the sum of its proper divisors (73290).

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 (69336).

65382 is a wasteful number, since it uses less digits than its factorization.

65382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663.

The product of its digits is 1440, while the sum is 24.

The square root of 65382 is about 255.6990418441. The cubic root of 65382 is about 40.2858687758.

The spelling of 65382 in words is "sixty-five thousand, three hundred eighty-two".