32561 has 2 divisors, whose sum is σ = 32562. Its totient is φ = 32560.

The previous prime is 32537. The next prime is 32563. The reversal of 32561 is 16523.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 1936 = 175^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 32561 - 2⁶ = 32497 is a prime.

It is a Sophie Germain prime.

Together with 32563, it forms a pair of twin primes.

It is a Chen prime.

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

It is a Curzon number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32561.

It is not a weakly prime, because it can be changed into another prime (32563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16280 + 16281.

It is an arithmetic number, because the mean of its divisors is an integer number (16281).

2³²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

32561 is a deficient number, since it is larger than the sum of its proper divisors (1).

32561 is an equidigital number, since it uses as much as digits as its factorization.

32561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 17.

The square root of 32561 is about 180.4466680213. The cubic root of 32561 is about 31.9324747986.

The spelling of 32561 in words is "thirty-two thousand, five hundred sixty-one".