22541 has 2 divisors, whose sum is σ = 22542. Its totient is φ = 22540.

The previous prime is 22531. The next prime is 22543. The reversal of 22541 is 14522.

22541 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21316 + 1225 = 146^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 22541 - 2¹⁰ = 21517 is a prime.

It is a Sophie Germain prime.

Together with 22543, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22543) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11270 + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (11271).

2²²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

22541 is a deficient number, since it is larger than the sum of its proper divisors (1).

22541 is an equidigital number, since it uses as much as digits as its factorization.

22541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 80, while the sum is 14.

The square root of 22541 is about 150.1366044641. The cubic root of 22541 is about 28.2482182289.

The spelling of 22541 in words is "twenty-two thousand, five hundred forty-one".