33685 has 4 divisors (see below), whose sum is σ = 40428. Its totient is φ = 26944.

The previous prime is 33679. The next prime is 33703. The reversal of 33685 is 58633.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 58633 = 17 ⋅3449.

It can be written as a sum of positive squares in 2 ways, for example, as 14641 + 19044 = 121^2 + 138^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-33685 is a prime.

It is a super-2 number, since 2×33685^{2} = 2269358450, which contains 22 as substring.

It is a d-powerful number, because it can be written as **3**^{3} + **3**^{6} + **6**^{2} + **8**^{5} + **5**^{3} .

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 3364 + ... + 3373.

It is an arithmetic number, because the mean of its divisors is an integer number (10107).

2^{33685} is an apocalyptic number.

It is an amenable number.

33685 is a deficient number, since it is larger than the sum of its proper divisors (6743).

33685 is an equidigital number, since it uses as much as digits as its factorization.

33685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742.

The product of its digits is 2160, while the sum is 25.

The square root of 33685 is about 183.5347378564. The cubic root of 33685 is about 32.2957606094.

The spelling of 33685 in words is "thirty-three thousand, six hundred eighty-five".

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