36541 has 2 divisors, whose sum is σ = 36542. Its totient is φ = 36540.

The previous prime is 36529. The next prime is 36551. The reversal of 36541 is 14563.

36541 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 441 = 190^2 + 21^2 .

It is an emirp because it is prime and its reverse (14563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36541 - 2¹³ = 28349 is a prime.

It is an alternating number because its digits alternate between odd and even.

36541 is an undulating number in base 12.

36541 is a lucky number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18270 + 18271.

It is an arithmetic number, because the mean of its divisors is an integer number (18271).

2³⁶⁵⁴¹ is an apocalyptic number.

It is an amenable number.

36541 is a deficient number, since it is larger than the sum of its proper divisors (1).

36541 is an equidigital number, since it uses as much as digits as its factorization.

36541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 36541 is about 191.1570035337. The cubic root of 36541 is about 33.1838528922.

It can be divided in two parts, 3654 and 1, that added together give a triangular number (3655 = T₈₅).

The spelling of 36541 in words is "thirty-six thousand, five hundred forty-one".