385314301 has 2 divisors, whose sum is σ = 385314302. Its totient is φ = 385314300.

The previous prime is 385314277. The next prime is 385314311. The reversal of 385314301 is 103413583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312228900 + 73085401 = 17670^2 + 8549^2 .

It is a cyclic number.

It is not a de Polignac number, because 385314301 - 2⁷ = 385314173 is a prime.

It is a super-2 number, since 2×385314301² = 296934221110237202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 385314301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385314311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192657150 + 192657151.

It is an arithmetic number, because the mean of its divisors is an integer number (192657151).

Almost surely, 2^385314301 is an apocalyptic number.

It is an amenable number.

385314301 is a deficient number, since it is larger than the sum of its proper divisors (1).

385314301 is an equidigital number, since it uses as much as digits as its factorization.

385314301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 385314301 is about 19629.4243675152. The cubic root of 385314301 is about 727.6765440312.

Adding to 385314301 its reverse (103413583), we get a palindrome (488727884).

The spelling of 385314301 in words is "three hundred eighty-five million, three hundred fourteen thousand, three hundred one".