395737 has 2 divisors, whose sum is σ = 395738. Its totient is φ = 395736.

The previous prime is 395719. The next prime is 395741. The reversal of 395737 is 737593.

395737 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326041 + 69696 = 571^2 + 264^2 .

It is an emirp because it is prime and its reverse (737593) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 395737 - 2¹⁵ = 362969 is a prime.

It is not a weakly prime, because it can be changed into another prime (395767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197868 + 197869.

It is an arithmetic number, because the mean of its divisors is an integer number (197869).

2³⁹⁵⁷³⁷ is an apocalyptic number.

It is an amenable number.

395737 is a deficient number, since it is larger than the sum of its proper divisors (1).

395737 is an equidigital number, since it uses as much as digits as its factorization.

395737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19845, while the sum is 34.

The square root of 395737 is about 629.0763069771. The cubic root of 395737 is about 73.4179441214.

It can be divided in two parts, 39 and 5737, that added together give a square (5776 = 76²).

The spelling of 395737 in words is "three hundred ninety-five thousand, seven hundred thirty-seven".