238329 has 32 divisors (see below), whose sum is σ = 439040. Its totient is φ = 124416.

The previous prime is 238321. The next prime is 238331. The reversal of 238329 is 923832.

It is a Cunningham number, because it is equal to 62³+1.

It is not a de Polignac number, because 238329 - 2³ = 238321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238329.

It is not an unprimeable number, because it can be changed into a prime (238321) 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 in 31 ways as a sum of consecutive naturals, for example, 2409 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (13720).

2²³⁸³²⁹ is an apocalyptic number.

It is an amenable number.

238329 is a deficient number, since it is larger than the sum of its proper divisors (200711).

238329 is a wasteful number, since it uses less digits than its factorization.

238329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 238329 is about 488.1895123822. The cubic root of 238329 is about 62.0000867151. Note that the first 4 decimals are identical.

The spelling of 238329 in words is "two hundred thirty-eight thousand, three hundred twenty-nine".