80905 has 8 divisors (see below), whose sum is σ = 105984. Its totient is φ = 58800.

The previous prime is 80897. The next prime is 80909. The reversal of 80905 is 50908.

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

It is not a de Polignac number, because 80905 - 2³ = 80897 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681 + ... + 790.

It is an arithmetic number, because the mean of its divisors is an integer number (13248).

2⁸⁰⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

80905 is a deficient number, since it is larger than the sum of its proper divisors (25079).

80905 is a wasteful number, since it uses less digits than its factorization.

80905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487.

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

The square root of 80905 is about 284.4380424627. The cubic root of 80905 is about 43.2505652192.

The spelling of 80905 in words is "eighty thousand, nine hundred five".