53541 has 10 divisors (see below), whose sum is σ = 80102. Its totient is φ = 35640.

The previous prime is 53527. The next prime is 53549. The reversal of 53541 is 14535.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 2916 = 225^2 + 54^2 .

It is not a de Polignac number, because 53541 - 2¹⁰ = 52517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53549) 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 9 ways as a sum of consecutive naturals, for example, 250 + ... + 411.

2⁵³⁵⁴¹ is an apocalyptic number.

It is an amenable number.

53541 is a deficient number, since it is larger than the sum of its proper divisors (26561).

53541 is an equidigital number, since it uses as much as digits as its factorization.

53541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 53541 is about 231.3892823793. The cubic root of 53541 is about 37.6902333356.

It can be divided in two parts, 535 and 41, that added together give a square (576 = 24²).

The spelling of 53541 in words is "fifty-three thousand, five hundred forty-one".