182009 has 2 divisors, whose sum is σ = 182010. Its totient is φ = 182008.

The previous prime is 181997. The next prime is 182011. The reversal of 182009 is 900281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162409 + 19600 = 403^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 182009 - 2¹² = 177913 is a prime.

Together with 182011, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (182029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91004 + 91005.

It is an arithmetic number, because the mean of its divisors is an integer number (91005).

2¹⁸²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

182009 is a deficient number, since it is larger than the sum of its proper divisors (1).

182009 is an equidigital number, since it uses as much as digits as its factorization.

182009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 182009 is about 426.6251281863. The cubic root of 182009 is about 56.6714451949.

The spelling of 182009 in words is "one hundred eighty-two thousand, nine".