33641 has 2 divisors, whose sum is σ = 33642. Its totient is φ = 33640.

The previous prime is 33637. The next prime is 33647. The reversal of 33641 is 14633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32041 + 1600 = 179^2 + 40^2 .

It is an emirp because it is prime and its reverse (14633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33641 - 2² = 33637 is a prime.

It is a super-2 number, since 2×33641² = 2263433762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16820 + 16821.

It is an arithmetic number, because the mean of its divisors is an integer number (16821).

2³³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

33641 is a deficient number, since it is larger than the sum of its proper divisors (1).

33641 is an equidigital number, since it uses as much as digits as its factorization.

33641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 17.

The square root of 33641 is about 183.4148303709. The cubic root of 33641 is about 32.2816926995.

The spelling of 33641 in words is "thirty-three thousand, six hundred forty-one".