83809 has 8 divisors (see below), whose sum is σ = 96480. Its totient is φ = 72000.

The previous prime is 83791. The next prime is 83813. The reversal of 83809 is 90838.

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

It is a cyclic number.

It is not a de Polignac number, because 83809 - 2⁵ = 83777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83869) 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, 9 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (12060).

2⁸³⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

83809 is a deficient number, since it is larger than the sum of its proper divisors (12671).

83809 is a wasteful number, since it uses less digits than its factorization.

83809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 83809 is about 289.4978410973. The cubic root of 83809 is about 43.7619722337.

The spelling of 83809 in words is "eighty-three thousand, eight hundred nine".