385321 has 2 divisors, whose sum is σ = 385322. Its totient is φ = 385320.

The previous prime is 385291. The next prime is 385327. The reversal of 385321 is 123583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 114921 = 520^2 + 339^2 .

It is an emirp because it is prime and its reverse (123583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385321 - 2⁵ = 385289 is a prime.

385321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 385292 and 385301.

It is not a weakly prime, because it can be changed into another prime (385327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192660 + 192661.

It is an arithmetic number, because the mean of its divisors is an integer number (192661).

2³⁸⁵³²¹ is an apocalyptic number.

It is an amenable number.

385321 is a deficient number, since it is larger than the sum of its proper divisors (1).

385321 is an equidigital number, since it uses as much as digits as its factorization.

385321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 385321 is about 620.7422975761. The cubic root of 385321 is about 72.7680761088.

The spelling of 385321 in words is "three hundred eighty-five thousand, three hundred twenty-one".