238361 has 2 divisors, whose sum is σ = 238362. Its totient is φ = 238360.

The previous prime is 238339. The next prime is 238363. The reversal of 238361 is 163832.

238361 is nontrivially palindromic in base 6.

238361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235225 + 3136 = 485^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-238361 is a prime.

Together with 238363, it forms a pair of twin primes.

It is a Chen prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 238361.

It is not a weakly prime, because it can be changed into another prime (238363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119180 + 119181.

It is an arithmetic number, because the mean of its divisors is an integer number (119181).

2²³⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

238361 is a deficient number, since it is larger than the sum of its proper divisors (1).

238361 is an equidigital number, since it uses as much as digits as its factorization.

238361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

The square root of 238361 is about 488.2222854397. Note that the first 4 decimals coincide. The cubic root of 238361 is about 62.0028614704.

Subtracting from 238361 its reverse (163832), we obtain a square (74529 = 273²).

The spelling of 238361 in words is "two hundred thirty-eight thousand, three hundred sixty-one".