53844 has 24 divisors (see below), whose sum is σ = 143808. Its totient is φ = 15360.

The previous prime is 53831. The next prime is 53849. The reversal of 53844 is 44835.

53844 = T₁₁₂ + T₁₁₃ + ... + T₁₁₉.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (5992).

2⁵³⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

53844 is an abundant number, since it is smaller than the sum of its proper divisors (89964).

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 (71904).

53844 is a wasteful number, since it uses less digits than its factorization.

53844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 653 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 53844 is about 232.0430994449. The cubic root of 53844 is about 37.7611986716.

Subtracting from 53844 its reverse (44835), we obtain a palindrome (9009).

The spelling of 53844 in words is "fifty-three thousand, eight hundred forty-four".