385249 has 2 divisors, whose sum is σ = 385250. Its totient is φ = 385248.

The previous prime is 385223. The next prime is 385261. The reversal of 385249 is 942583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208849 + 176400 = 457^2 + 420^2 .

It is an emirp because it is prime and its reverse (942583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 385249 - 2⁹ = 384737 is a prime.

385249 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 385249.

It is not a weakly prime, because it can be changed into another prime (385279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192624 + 192625.

It is an arithmetic number, because the mean of its divisors is an integer number (192625).

2³⁸⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

385249 is a deficient number, since it is larger than the sum of its proper divisors (1).

385249 is an equidigital number, since it uses as much as digits as its factorization.

385249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 31.

The square root of 385249 is about 620.6842997853. The cubic root of 385249 is about 72.7635434137.

The spelling of 385249 in words is "three hundred eighty-five thousand, two hundred forty-nine".