83209 has 4 divisors (see below), whose sum is σ = 95104. Its totient is φ = 71316.

The previous prime is 83207. The next prime is 83219. The reversal of 83209 is 90238.

83209 is nontrivially palindromic in base 11.

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: 90238 = 2 ⋅45119.

It is not a de Polignac number, because 83209 - 2¹ = 83207 is a prime.

It is a Duffinian number.

83209 is an undulating number in base 11.

83209 is a lucky number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 83209.

It is not an unprimeable number, because it can be changed into a prime (83203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5937 + ... + 5950.

It is an arithmetic number, because the mean of its divisors is an integer number (23776).

2⁸³²⁰⁹ is an apocalyptic number.

It is an amenable number.

83209 is a deficient number, since it is larger than the sum of its proper divisors (11895).

83209 is a wasteful number, since it uses less digits than its factorization.

83209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894.

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

The square root of 83209 is about 288.4597025583. The cubic root of 83209 is about 43.6572893900.

It can be divided in two parts, 83 and 209, that added together give a palindrome (292).

The spelling of 83209 in words is "eighty-three thousand, two hundred nine".