109509 has 8 divisors (see below), whose sum is σ = 147552. Its totient is φ = 72240.

The previous prime is 109507. The next prime is 109517. The reversal of 109509 is 905901.

It is a happy number.

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

It is not a de Polignac number, because 109509 - 2¹ = 109507 is a prime.

It is a Curzon number.

109509 is a lucky number.

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 109509.

It is not an unprimeable number, because it can be changed into a prime (109507) 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, 414 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (18444).

2¹⁰⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

109509 is a deficient number, since it is larger than the sum of its proper divisors (38043).

109509 is a wasteful number, since it uses less digits than its factorization.

109509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 109509 is about 330.9214408285. The cubic root of 109509 is about 47.8428017155.

The spelling of 109509 in words is "one hundred nine thousand, five hundred nine".