32641 has 4 divisors (see below), whose sum is σ = 37312. Its totient is φ = 27972.

The previous prime is 32633. The next prime is 32647. The reversal of 32641 is 14623.

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, and also an emirpimes, since its reverse is a distinct semiprime: 14623 = 7 ⋅2089.

It is not a de Polignac number, because 32641 - 2³ = 32633 is a prime.

It is an Ulam number.

It is a pancake number, because a pancake can be divided into 32641 parts by 255 straight cuts.

It is a Duffinian number.

32641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (32647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2325 + ... + 2338.

It is an arithmetic number, because the mean of its divisors is an integer number (9328).

2³²⁶⁴¹ is an apocalyptic number.

It is an amenable number.

32641 is a deficient number, since it is larger than the sum of its proper divisors (4671).

32641 is an equidigital number, since it uses as much as digits as its factorization.

32641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670.

The product of its digits is 144, while the sum is 16.

The square root of 32641 is about 180.6682041755. The cubic root of 32641 is about 31.9586053298.

It can be divided in two parts, 326 and 41, that multiplied together give a triangular number (13366 = T₁₆₃).

The spelling of 32641 in words is "thirty-two thousand, six hundred forty-one".