32541 has 4 divisors (see below), whose sum is σ = 43392. Its totient is φ = 21692.

The previous prime is 32537. The next prime is 32561. The reversal of 32541 is 14523.

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.

It is a cyclic number.

It is not a de Polignac number, because 32541 - 2² = 32537 is a prime.

It is a D-number.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 32541.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32541.

It is not an unprimeable number, because it can be changed into a prime (32531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5421 + ... + 5426.

It is an arithmetic number, because the mean of its divisors is an integer number (10848).

2³²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

32541 is a deficient number, since it is larger than the sum of its proper divisors (10851).

32541 is a wasteful number, since it uses less digits than its factorization.

32541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850.

The product of its digits is 120, while the sum is 15.

The square root of 32541 is about 180.3912414725. The cubic root of 32541 is about 31.9259354796.

The spelling of 32541 in words is "thirty-two thousand, five hundred forty-one".