395257241 has 2 divisors, whose sum is σ = 395257242. Its totient is φ = 395257240.

The previous prime is 395257237. The next prime is 395257243. The reversal of 395257241 is 142752593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351750025 + 43507216 = 18755^2 + 6596^2 .

It is an emirp because it is prime and its reverse (142752593) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 395257241 - 2² = 395257237 is a prime.

Together with 395257243, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_21096893 and since 395257241 and 21096893 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 395257195 and 395257204.

It is not a weakly prime, because it can be changed into another prime (395257243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197628620 + 197628621.

It is an arithmetic number, because the mean of its divisors is an integer number (197628621).

Almost surely, 2^395257241 is an apocalyptic number.

It is an amenable number.

395257241 is a deficient number, since it is larger than the sum of its proper divisors (1).

395257241 is an equidigital number, since it uses as much as digits as its factorization.

395257241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75600, while the sum is 38.

The square root of 395257241 is about 19881.0774607414. The cubic root of 395257241 is about 733.8826349777.

The spelling of 395257241 in words is "three hundred ninety-five million, two hundred fifty-seven thousand, two hundred forty-one".