182329 has 9 divisors (see below), whose sum is σ = 215631. Its totient is φ = 153720.

The previous prime is 182309. The next prime is 182333. The reversal of 182329 is 923281.

182329 = T₄₂₆ + T₄₂₇.

The square root of 182329 is 427.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 176400 = 77^2 + 420^2 .

It is not a de Polignac number, because 182329 - 2⁵ = 182297 is a prime.

It is a Duffinian number.

182329 is a lucky 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 8 ways as a sum of consecutive naturals, for example, 2959 + ... + 3019.

It is an arithmetic number, because the mean of its divisors is an integer number (23959).

2¹⁸²³²⁹ is an apocalyptic number.

182329 is the 427-th square number.

182329 is the 214-th centered octagonal number.

It is an amenable number.

182329 is a deficient number, since it is larger than the sum of its proper divisors (33302).

182329 is an frugal number, since it uses more digits than its factorization.

182329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 68 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The cubic root of 182329 is about 56.7046381411.

Multiplying 182329 by its sum of digits (25), we get a square (4558225 = 2135²).

The spelling of 182329 in words is "one hundred eighty-two thousand, three hundred twenty-nine".