182085 has 16 divisors (see below), whose sum is σ = 297600. Its totient is φ = 95040.

The previous prime is 182059. The next prime is 182089. The reversal of 182085 is 580281.

182085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 182085 - 2⁷ = 181957 is a prime.

It is a Curzon number.

182085 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 182085.

It is not an unprimeable number, because it can be changed into a prime (182089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2¹⁸²⁰⁸⁵ is an apocalyptic number.

182085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182085 is a deficient number, since it is larger than the sum of its proper divisors (115515).

182085 is a wasteful number, since it uses less digits than its factorization.

182085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 182085 is about 426.7141900617. The cubic root of 182085 is about 56.6793320402.

The spelling of 182085 in words is "one hundred eighty-two thousand, eighty-five".