52441 has 3 divisors (see below), whose sum is σ = 52671. Its totient is φ = 52212.

The previous prime is 52433. The next prime is 52453. The reversal of 52441 is 14425.

52441 = T₂₂₈ + T₂₂₉.

The square root of 52441 is 229.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 3600 = 221^2 + 60^2 .

It is not a de Polignac number, because 52441 - 2³ = 52433 is a prime.

It is a Duffinian number.

52441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (52541) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 115 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (17557).

2⁵²⁴⁴¹ is an apocalyptic number.

52441 is the 229-th square number.

52441 is the 115-th centered octagonal number.

It is an amenable number.

52441 is a deficient number, since it is larger than the sum of its proper divisors (230).

52441 is an frugal number, since it uses more digits than its factorization.

52441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

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

The cubic root of 52441 is about 37.4303299015.

Subtracting from 52441 its sum of digits (16), we obtain a palindrome (52425).

Multiplying 52441 by its sum of digits (16), we get a square (839056 = 916²).

Adding to 52441 its reverse (14425), we get a palindrome (66866).

It can be divided in two parts, 524 and 41, that added together give a palindrome (565).

The spelling of 52441 in words is "fifty-two thousand, four hundred forty-one".