182385 has 32 divisors (see below), whose sum is σ = 372480. Its totient is φ = 82944.

The previous prime is 182353. The next prime is 182387. The reversal of 182385 is 583281.

It is a happy number.

It is not a de Polignac number, because 182385 - 2⁵ = 182353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 1 + 8³ + 3¹¹ + 2² + 8⁴ + 5⁴ .

182385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (182387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (11640).

2¹⁸²³⁸⁵ is an apocalyptic number.

182385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182385 is an abundant number, since it is smaller than the sum of its proper divisors (190095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182385 is a wasteful number, since it uses less digits than its factorization.

182385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 182385 is about 427.0655687362. The cubic root of 182385 is about 56.7104429129.

The spelling of 182385 in words is "one hundred eighty-two thousand, three hundred eighty-five".