32809 has 8 divisors (see below), whose sum is σ = 38720. Its totient is φ = 27216.

The previous prime is 32803. The next prime is 32831. The reversal of 32809 is 90823.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 32809 - 2³ = 32801 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (4840).

2³²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

32809 is a deficient number, since it is larger than the sum of its proper divisors (5911).

32809 is a wasteful number, since it uses less digits than its factorization.

32809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 32809 is about 181.1325481519. The cubic root of 32809 is about 32.0133407916.

It can be divided in two parts, 32 and 809, that added together give a square (841 = 29²).

The spelling of 32809 in words is "thirty-two thousand, eight hundred nine".