33689 has 4 divisors (see below), whose sum is σ = 34320. Its totient is φ = 33060.

The previous prime is 33679. The next prime is 33703. The reversal of 33689 is 98633.

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: 98633 = 53 ⋅1861.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33689 is a prime.

It is a super-2 number, since 2×33689² = 2269897442, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 10, base 11 and base 13.

It is not an unprimeable number, because it can be changed into a prime (33619) 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 in 3 ways as a sum of consecutive naturals, for example, 227 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2³³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

33689 is a deficient number, since it is larger than the sum of its proper divisors (631).

33689 is an equidigital number, since it uses as much as digits as its factorization.

33689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its digits is 3888, while the sum is 29.

The square root of 33689 is about 183.5456346525. The cubic root of 33689 is about 32.2970389027.

The spelling of 33689 in words is "thirty-three thousand, six hundred eighty-nine".