4109 has 4 divisors (see below), whose sum is σ = 4704. Its totient is φ = 3516.

The previous prime is 4099. The next prime is 4111. The reversal of 4109 is 9014.

4109 = 36² + 37² + 38².

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: 9014 = 2 ⋅4507.

It is a cyclic number.

It is not a de Polignac number, because 4109 - 2⁴ = 4093 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4093 and 4102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4109.

It is not an unprimeable number, because it can be changed into a prime (4129) 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, 287 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2⁴¹⁰⁹ is an apocalyptic number.

It is an amenable number.

4109 is a deficient number, since it is larger than the sum of its proper divisors (595).

4109 is an equidigital number, since it uses as much as digits as its factorization.

4109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4109 is about 64.1014820421. The cubic root of 4109 is about 16.0169092070.

Subtracting from 4109 its sum of digits (14), we obtain a triangular number (4095 = T₉₀).

The spelling of 4109 in words is "four thousand, one hundred nine".