32689 has 4 divisors (see below), whose sum is σ = 33124. Its totient is φ = 32256.

The previous prime is 32687. The next prime is 32693. The reversal of 32689 is 98623.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 21025 = 108^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 32689 - 2¹ = 32687 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (32687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 265.

It is an arithmetic number, because the mean of its divisors is an integer number (8281).

2³²⁶⁸⁹ is an apocalyptic number.

32689 is the 97-th nonagonal number.

It is an amenable number.

32689 is a deficient number, since it is larger than the sum of its proper divisors (435).

32689 is an equidigital number, since it uses as much as digits as its factorization.

32689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 2592, while the sum is 28.

The square root of 32689 is about 180.8009955725. The cubic root of 32689 is about 31.9742631602.

The spelling of 32689 in words is "thirty-two thousand, six hundred eighty-nine".