395657 has 2 divisors, whose sum is σ = 395658. Its totient is φ = 395656.

The previous prime is 395627. The next prime is 395671. The reversal of 395657 is 756593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395641 + 16 = 629^2 + 4^2 .

It is an emirp because it is prime and its reverse (756593) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 395657 - 2¹⁰ = 394633 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395657.

It is not a weakly prime, because it can be changed into another prime (395627) 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, 197828 + 197829.

It is an arithmetic number, because the mean of its divisors is an integer number (197829).

2³⁹⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

395657 is a deficient number, since it is larger than the sum of its proper divisors (1).

395657 is an equidigital number, since it uses as much as digits as its factorization.

395657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28350, while the sum is 35.

The square root of 395657 is about 629.0127184724. The cubic root of 395657 is about 73.4129965330.

The spelling of 395657 in words is "three hundred ninety-five thousand, six hundred fifty-seven".