238829 has 2 divisors, whose sum is σ = 238830. Its totient is φ = 238828.

The previous prime is 238801. The next prime is 238837. The reversal of 238829 is 928832.

It is a happy number.

238829 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198025 + 40804 = 445^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 238829 - 2⁸ = 238573 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 238795 and 238804.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238829.

It is not a weakly prime, because it can be changed into another prime (238859) 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, 119414 + 119415.

It is an arithmetic number, because the mean of its divisors is an integer number (119415).

2²³⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

238829 is a deficient number, since it is larger than the sum of its proper divisors (1).

238829 is an equidigital number, since it uses as much as digits as its factorization.

238829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The square root of 238829 is about 488.7013402887. The cubic root of 238829 is about 62.0434139222.

The spelling of 238829 in words is "two hundred thirty-eight thousand, eight hundred twenty-nine".