393257 has 2 divisors, whose sum is σ = 393258. Its totient is φ = 393256.

The previous prime is 393247. The next prime is 393271. The reversal of 393257 is 752393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 55696 = 581^2 + 236^2 .

It is a cyclic number.

It is not a de Polignac number, because 393257 - 2⁴ = 393241 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁸ + 9 + 2¹⁷ + 3¹¹ + 5⁷ + 7³ .

It is not a weakly prime, because it can be changed into another prime (393247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196628 + 196629.

It is an arithmetic number, because the mean of its divisors is an integer number (196629).

2³⁹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

393257 is a deficient number, since it is larger than the sum of its proper divisors (1).

393257 is an equidigital number, since it uses as much as digits as its factorization.

393257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 29.

The square root of 393257 is about 627.1020650580. The cubic root of 393257 is about 73.2642577285.

The spelling of 393257 in words is "three hundred ninety-three thousand, two hundred fifty-seven".