238624829 has 2 divisors, whose sum is σ = 238624830. Its totient is φ = 238624828.

The previous prime is 238624811. The next prime is 238624831. The reversal of 238624829 is 928426832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233325625 + 5299204 = 15275^2 + 2302^2 .

It is a cyclic number.

It is not a de Polignac number, because 238624829 - 2²⁰ = 237576253 is a prime.

Together with 238624831, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238624829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (238624849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119312414 + 119312415.

It is an arithmetic number, because the mean of its divisors is an integer number (119312415).

Almost surely, 2^238624829 is an apocalyptic number.

It is an amenable number.

238624829 is a deficient number, since it is larger than the sum of its proper divisors (1).

238624829 is an equidigital number, since it uses as much as digits as its factorization.

238624829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 331776, while the sum is 44.

The square root of 238624829 is about 15447.4861708953. The cubic root of 238624829 is about 620.2572891565.

The spelling of 238624829 in words is "two hundred thirty-eight million, six hundred twenty-four thousand, eight hundred twenty-nine".