13541 has 4 divisors (see below), whose sum is σ = 14784. Its totient is φ = 12300.

The previous prime is 13537. The next prime is 13553. The reversal of 13541 is 14531.

13541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

13541 is an esthetic number in base 7 and base 8, because in such bases its adjacent digits differ by 1.

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, and also an emirpimes, since its reverse is a distinct semiprime: 14531 = 11 ⋅1321.

It is a cyclic number.

It is not a de Polignac number, because 13541 - 2² = 13537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13591) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605 + ... + 626.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

2¹³⁵⁴¹ is an apocalyptic number.

13541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13541 is a deficient number, since it is larger than the sum of its proper divisors (1243).

13541 is a wasteful number, since it uses less digits than its factorization.

13541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242.

The product of its digits is 60, while the sum is 14.

The square root of 13541 is about 116.3658025367. The cubic root of 13541 is about 23.8350963970.

Subtracting 13541 from its reverse (14531), we obtain a triangular number (990 = T₄₄).

The spelling of 13541 in words is "thirteen thousand, five hundred forty-one".