182985 has 16 divisors (see below), whose sum is σ = 319680. Its totient is φ = 88640.

The previous prime is 182981. The next prime is 182999. The reversal of 182985 is 589281.

It is a happy number.

182985 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 182985 - 2² = 182981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (182981) 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, 390 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2¹⁸²⁹⁸⁵ is an apocalyptic number.

182985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182985 is a deficient number, since it is larger than the sum of its proper divisors (136695).

182985 is a wasteful number, since it uses less digits than its factorization.

182985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128.

The product of its digits is 5760, while the sum is 33.

The square root of 182985 is about 427.7674601930. The cubic root of 182985 is about 56.7725624608.

It can be divided in two parts, 18 and 2985, that added together give a palindrome (3003).

The spelling of 182985 in words is "one hundred eighty-two thousand, nine hundred eighty-five".