385906769 has 2 divisors, whose sum is σ = 385906770. Its totient is φ = 385906768.

The previous prime is 385906751. The next prime is 385906771. The reversal of 385906769 is 967609583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379470400 + 6436369 = 19480^2 + 2537^2 .

It is an emirp because it is prime and its reverse (967609583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385906769 - 2¹⁶ = 385841233 is a prime.

It is a super-2 number, since 2×385906769² = 297848068720038722, which contains 22 as substring.

Together with 385906771, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385906769.

It is not a weakly prime, because it can be changed into another prime (385906709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192953384 + 192953385.

It is an arithmetic number, because the mean of its divisors is an integer number (192953385).

Almost surely, 2^385906769 is an apocalyptic number.

It is an amenable number.

385906769 is a deficient number, since it is larger than the sum of its proper divisors (1).

385906769 is an equidigital number, since it uses as much as digits as its factorization.

385906769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2449440, while the sum is 53.

The square root of 385906769 is about 19644.5098946245. The cubic root of 385906769 is about 728.0493170159.

The spelling of 385906769 in words is "three hundred eighty-five million, nine hundred six thousand, seven hundred sixty-nine".