385289 has 2 divisors, whose sum is σ = 385290. Its totient is φ = 385288.

The previous prime is 385279. The next prime is 385291. The reversal of 385289 is 982583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 15625 = 608^2 + 125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-385289 is a prime.

It is a super-2 number, since 2×385289² = 296895227042, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 385291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385289.

It is not a weakly prime, because it can be changed into another prime (385249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192644 + 192645.

It is an arithmetic number, because the mean of its divisors is an integer number (192645).

2³⁸⁵²⁸⁹ is an apocalyptic number.

It is an amenable number.

385289 is a deficient number, since it is larger than the sum of its proper divisors (1).

385289 is an equidigital number, since it uses as much as digits as its factorization.

385289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 35.

The square root of 385289 is about 620.7165214492. The cubic root of 385289 is about 72.7660616474.

The spelling of 385289 in words is "three hundred eighty-five thousand, two hundred eighty-nine".