238657 has 2 divisors, whose sum is σ = 238658. Its totient is φ = 238656.

The previous prime is 238649. The next prime is 238673. The reversal of 238657 is 756832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 229441 + 9216 = 479^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 238657 - 2³ = 238649 is a prime.

238657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (238627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 119328 + 119329.

It is an arithmetic number, because the mean of its divisors is an integer number (119329).

2²³⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

238657 is a deficient number, since it is larger than the sum of its proper divisors (1).

238657 is an equidigital number, since it uses as much as digits as its factorization.

238657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 31.

The square root of 238657 is about 488.5253319942. The cubic root of 238657 is about 62.0285161920.

The spelling of 238657 in words is "two hundred thirty-eight thousand, six hundred fifty-seven".