80185 has 16 divisors (see below), whose sum is σ = 115200. Its totient is φ = 52416.

The previous prime is 80177. The next prime is 80191. The reversal of 80185 is 58108.

80185 = 85² + 86² + ... + 94².

80185 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 80185 - 2³ = 80177 is a prime.

80185 is a modest number, since divided by 185 gives 80 as remainder.

80185 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 1054.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁸⁰¹⁸⁵ is an apocalyptic number.

It is an amenable number.

80185 is a deficient number, since it is larger than the sum of its proper divisors (35015).

80185 is a wasteful number, since it uses less digits than its factorization.

80185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 80185 is about 283.1695605110. The cubic root of 80185 is about 43.1218824323.

The spelling of 80185 in words is "eighty thousand, one hundred eighty-five".