385967 has 2 divisors, whose sum is σ = 385968. Its totient is φ = 385966.

The previous prime is 385943. The next prime is 385991. The reversal of 385967 is 769583.

It is a balanced prime because it is at equal distance from previous prime (385943) and next prime (385991).

It is a cyclic number.

It is not a de Polignac number, because 385967 - 2¹⁶ = 320431 is a prime.

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 385967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192983 + 192984.

It is an arithmetic number, because the mean of its divisors is an integer number (192984).

2³⁸⁵⁹⁶⁷ is an apocalyptic number.

385967 is a deficient number, since it is larger than the sum of its proper divisors (1).

385967 is an equidigital number, since it uses as much as digits as its factorization.

385967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 385967 is about 621.2624244230. The cubic root of 385967 is about 72.8087192189.

The spelling of 385967 in words is "three hundred eighty-five thousand, nine hundred sixty-seven".