79509 has 8 divisors (see below), whose sum is σ = 112320. Its totient is φ = 49856.

The previous prime is 79493. The next prime is 79531. The reversal of 79509 is 90597.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 79509 - 2⁴ = 79493 is a prime.

79509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79549) 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, 729 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2⁷⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

79509 is a deficient number, since it is larger than the sum of its proper divisors (32811).

79509 is a wasteful number, since it uses less digits than its factorization.

79509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 79509 is about 281.9734030011. The cubic root of 79509 is about 43.0003605522. Note that the first 3 decimals are identical.

The spelling of 79509 in words is "seventy-nine thousand, five hundred nine".