57541 has 4 divisors (see below), whose sum is σ = 62784. Its totient is φ = 52300.

The previous prime is 57529. The next prime is 57557. The reversal of 57541 is 14575.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 57541 - 2⁷ = 57413 is a prime.

It is a Duffinian number.

57541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57571) 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 3 ways as a sum of consecutive naturals, for example, 2605 + ... + 2626.

It is an arithmetic number, because the mean of its divisors is an integer number (15696).

2⁵⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

57541 is a deficient number, since it is larger than the sum of its proper divisors (5243).

57541 is a wasteful number, since it uses less digits than its factorization.

57541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242.

The product of its digits is 700, while the sum is 22.

The square root of 57541 is about 239.8770518411. The cubic root of 57541 is about 38.6063847976.

It can be divided in two parts, 575 and 41, that added together give a palindrome (616).

The spelling of 57541 in words is "fifty-seven thousand, five hundred forty-one".