27541 has 2 divisors, whose sum is σ = 27542. Its totient is φ = 27540.

The previous prime is 27539. The next prime is 27551. The reversal of 27541 is 14572.

27541 = T₁₃₄ + T₁₃₅ + T₁₃₆.

27541 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 5041 = 150^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 27541 - 2¹ = 27539 is a prime.

Together with 27539, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

27541 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13770 + 13771.

It is an arithmetic number, because the mean of its divisors is an integer number (13771).

2²⁷⁵⁴¹ is an apocalyptic number.

27541 is the 136-th centered triangular number.

It is an amenable number.

27541 is a deficient number, since it is larger than the sum of its proper divisors (1).

27541 is an equidigital number, since it uses as much as digits as its factorization.

27541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 280, while the sum is 19.

The square root of 27541 is about 165.9548131269. The cubic root of 27541 is about 30.1990467953.

Subtracting from 27541 its product of digits (280), we obtain a triangular number (27261 = T₂₃₃).

The spelling of 27541 in words is "twenty-seven thousand, five hundred forty-one".