80205 has 8 divisors (see below), whose sum is σ = 128352. Its totient is φ = 42768.

The previous prime is 80191. The next prime is 80207. The reversal of 80205 is 50208.

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

It is not a de Polignac number, because 80205 - 2⁵ = 80173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 5347 = 80205 / (8 + 0 + 2 + 0 + 5).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80207) 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, 2659 + ... + 2688.

It is an arithmetic number, because the mean of its divisors is an integer number (16044).

2⁸⁰²⁰⁵ is an apocalyptic number.

It is an amenable number.

80205 is a deficient number, since it is larger than the sum of its proper divisors (48147).

80205 is a wasteful number, since it uses less digits than its factorization.

80205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 80205 is about 283.2048728394. The cubic root of 80205 is about 43.1254673337.

The spelling of 80205 in words is "eighty thousand, two hundred five".