182164 has 6 divisors (see below), whose sum is σ = 318794. Its totient is φ = 91080.

The previous prime is 182159. The next prime is 182167. The reversal of 182164 is 461281.

182164 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 66564 = 340^2 + 258^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22767 + ... + 22774.

2¹⁸²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

182164 is a deficient number, since it is larger than the sum of its proper divisors (136630).

182164 is a wasteful number, since it uses less digits than its factorization.

182164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45545 (or 45543 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 182164 is about 426.8067478379. The cubic root of 182164 is about 56.6875278825.

The spelling of 182164 in words is "one hundred eighty-two thousand, one hundred sixty-four".