38541 has 8 divisors (see below), whose sum is σ = 53280. Its totient is φ = 24752.

The previous prime is 38501. The next prime is 38543. The reversal of 38541 is 14583.

38541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38541 - 2¹⁰ = 37517 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2³⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

38541 is a deficient number, since it is larger than the sum of its proper divisors (14739).

38541 is a wasteful number, since it uses less digits than its factorization.

38541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its digits is 480, while the sum is 21.

The square root of 38541 is about 196.3186185770. The cubic root of 38541 is about 33.7785492315.

The spelling of 38541 in words is "thirty-eight thousand, five hundred forty-one".