384257 has 2 divisors, whose sum is σ = 384258. Its totient is φ = 384256.

The previous prime is 384253. The next prime is 384259. The reversal of 384257 is 752483.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303601 + 80656 = 551^2 + 284^2 .

It is an emirp because it is prime and its reverse (752483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 384257 - 2² = 384253 is a prime.

Together with 384259, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 384257.

It is not a weakly prime, because it can be changed into another prime (384253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192128 + 192129.

It is an arithmetic number, because the mean of its divisors is an integer number (192129).

2³⁸⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

384257 is a deficient number, since it is larger than the sum of its proper divisors (1).

384257 is an equidigital number, since it uses as much as digits as its factorization.

384257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 29.

The square root of 384257 is about 619.8846666921. The cubic root of 384257 is about 72.7010353747.

The spelling of 384257 in words is "three hundred eighty-four thousand, two hundred fifty-seven".