182305 has 12 divisors (see below), whose sum is σ = 233172. Its totient is φ = 136800.

The previous prime is 182297. The next prime is 182309. The reversal of 182305 is 503281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130321 + 51984 = 361^2 + 228^2 .

It is not a de Polignac number, because 182305 - 2³ = 182297 is a prime.

It is a super-2 number, since 2×182305² = 66470226050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

182305 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182309) 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, 1755 + ... + 1855.

It is an arithmetic number, because the mean of its divisors is an integer number (19431).

2¹⁸²³⁰⁵ is an apocalyptic number.

It is an amenable number.

182305 is a deficient number, since it is larger than the sum of its proper divisors (50867).

182305 is a wasteful number, since it uses less digits than its factorization.

182305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 182305 is about 426.9718960306. The cubic root of 182305 is about 56.7021500180.

Adding to 182305 its reverse (503281), we get a palindrome (685586).

The spelling of 182305 in words is "one hundred eighty-two thousand, three hundred five".