83109 has 8 divisors (see below), whose sum is σ = 119392. Its totient is φ = 51120.

The previous prime is 83101. The next prime is 83117. The reversal of 83109 is 90138.

It is an interprime number because it is at equal distance from previous prime (83101) and next prime (83117).

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

It is not a de Polignac number, because 83109 - 2³ = 83101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (14924).

2⁸³¹⁰⁹ is an apocalyptic number.

It is an amenable number.

83109 is a deficient number, since it is larger than the sum of its proper divisors (36283).

83109 is a wasteful number, since it uses less digits than its factorization.

83109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 83109 is about 288.2863160124. The cubic root of 83109 is about 43.6397933699.

The spelling of 83109 in words is "eighty-three thousand, one hundred nine".