185985 has 12 divisors (see below), whose sum is σ = 322452. Its totient is φ = 99168.

The previous prime is 185971. The next prime is 185987. The reversal of 185985 is 589581.

It can be written as a sum of positive squares in 2 ways, for example, as 103041 + 82944 = 321^2 + 288^2 .

It is not a de Polignac number, because 185985 - 2¹² = 181889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (185987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2022 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (26871).

2¹⁸⁵⁹⁸⁵ is an apocalyptic number.

185985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

185985 is a deficient number, since it is larger than the sum of its proper divisors (136467).

185985 is a wasteful number, since it uses less digits than its factorization.

185985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4141 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 185985 is about 431.2597824977. The cubic root of 185985 is about 57.0811402121.

The spelling of 185985 in words is "one hundred eighty-five thousand, nine hundred eighty-five".