82109 has 4 divisors (see below), whose sum is σ = 83904. Its totient is φ = 80316.

The previous prime is 82073. The next prime is 82129. The reversal of 82109 is 90128.

82109 is nontrivially palindromic in base 11.

82109 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

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.

It is a cyclic number.

It is not a de Polignac number, because 82109 - 2⁸ = 81853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82129) 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, 827 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (20976).

2⁸²¹⁰⁹ is an apocalyptic number.

It is an amenable number.

82109 is a deficient number, since it is larger than the sum of its proper divisors (1795).

82109 is a wasteful number, since it uses less digits than its factorization.

82109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 82109 is about 286.5466803158. The cubic root of 82109 is about 43.4640562728.

It can be divided in two parts, 82 and 109, that added together give a palindrome (191).

The spelling of 82109 in words is "eighty-two thousand, one hundred nine".