182180 has 12 divisors (see below), whose sum is σ = 382620. Its totient is φ = 72864.

The previous prime is 182179. The next prime is 182201. The reversal of 182180 is 81281.

182180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 141376 = 202^2 + 376^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 9109 = 182180 / (1 + 8 + 2 + 1 + 8 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4535 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (31885).

2¹⁸²¹⁸⁰ is an apocalyptic number.

182180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

182180 is an abundant number, since it is smaller than the sum of its proper divisors (200440).

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

182180 is a wasteful number, since it uses less digits than its factorization.

182180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9118 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 182180 is about 426.8254912725. The cubic root of 182180 is about 56.6891875113.

The spelling of 182180 in words is "one hundred eighty-two thousand, one hundred eighty".