65844 has 36 divisors (see below), whose sum is σ = 174720. Its totient is φ = 20880.

The previous prime is 65843. The next prime is 65851. The reversal of 65844 is 44856.

65844 is a `hidden beast` number, since 658 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 65844.

It is not an unprimeable number, because it can be changed into a prime (65843) 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 11 ways as a sum of consecutive naturals, for example, 1087 + ... + 1145.

2⁶⁵⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

65844 is an abundant number, since it is smaller than the sum of its proper divisors (108876).

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

65844 is a wasteful number, since it uses less digits than its factorization.

65844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 65844 is about 256.6008573641. The cubic root of 65844 is about 40.3805350142.

It can be divided in two parts, 65 and 844, that added together give a palindrome (909).

The spelling of 65844 in words is "sixty-five thousand, eight hundred forty-four".