385840321 has 2 divisors, whose sum is σ = 385840322. Its totient is φ = 385840320.

The previous prime is 385840309. The next prime is 385840327. The reversal of 385840321 is 123048583.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304118721 + 81721600 = 17439^2 + 9040^2 .

It is a cyclic number.

It is not a de Polignac number, because 385840321 - 2⁷ = 385840193 is a prime.

It is a super-3 number, since 3×385840321³ (a number of 27 digits) contains 333 as substring.

It is equal to p_20620888 and since 385840321 and 20620888 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (385840327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192920160 + 192920161.

It is an arithmetic number, because the mean of its divisors is an integer number (192920161).

Almost surely, 2^385840321 is an apocalyptic number.

It is an amenable number.

385840321 is a deficient number, since it is larger than the sum of its proper divisors (1).

385840321 is an equidigital number, since it uses as much as digits as its factorization.

385840321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 385840321 is about 19642.8185604816. The cubic root of 385840321 is about 728.0075278224.

The spelling of 385840321 in words is "three hundred eighty-five million, eight hundred forty thousand, three hundred twenty-one".