385393 has 2 divisors, whose sum is σ = 385394. Its totient is φ = 385392.

The previous prime is 385391. The next prime is 385397. The reversal of 385393 is 393583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 138384 = 497^2 + 372^2 .

It is an emirp because it is prime and its reverse (393583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385393 - 2¹ = 385391 is a prime.

Together with 385391, it forms a pair of twin primes.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (385391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192696 + 192697.

It is an arithmetic number, because the mean of its divisors is an integer number (192697).

2³⁸⁵³⁹³ is an apocalyptic number.

It is an amenable number.

385393 is a deficient number, since it is larger than the sum of its proper divisors (1).

385393 is an equidigital number, since it uses as much as digits as its factorization.

385393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 31.

The square root of 385393 is about 620.8002899484. The cubic root of 385393 is about 72.7726082393.

The spelling of 385393 in words is "three hundred eighty-five thousand, three hundred ninety-three".