80509 has 8 divisors (see below), whose sum is σ = 94752. Its totient is φ = 67440.

The previous prime is 80491. The next prime is 80513. The reversal of 80509 is 90508.

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 80509 - 2⁹ = 79997 is a prime.

It is a super-3 number, since 3×80509³ = 1565505333936687, which contains 333 as substring.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 80509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (11844).

2⁸⁰⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

80509 is a deficient number, since it is larger than the sum of its proper divisors (14243).

80509 is a wasteful number, since it uses less digits than its factorization.

80509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 80509 is about 283.7410791549. The cubic root of 80509 is about 43.1798846108.

Subtracting 80509 from its reverse (90508), we obtain a palindrome (9999).

The spelling of 80509 in words is "eighty thousand, five hundred nine".