52144 has 10 divisors (see below), whose sum is σ = 101060. Its totient is φ = 26064.

The previous prime is 52127. The next prime is 52147. The reversal of 52144 is 44125.

52144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 3259 = 52144 / (5 + 2 + 1 + 4 + 4).

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52147) by changing a digit.

52144 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 as a sum of consecutive naturals, namely, 1614 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (10106).

2⁵²¹⁴⁴ is an apocalyptic number.

It is an amenable number.

52144 is a deficient number, since it is larger than the sum of its proper divisors (48916).

52144 is a wasteful number, since it uses less digits than its factorization.

52144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3261 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 52144 is about 228.3506076191. The cubic root of 52144 is about 37.3595337625.

Subtracting from 52144 its product of digits (160), we obtain a square (51984 = 228²).

Adding to 52144 its reverse (44125), we get a palindrome (96269).

It can be divided in two parts, 521 and 44, that added together give a palindrome (565).

The spelling of 52144 in words is "fifty-two thousand, one hundred forty-four".