385193 has 2 divisors, whose sum is σ = 385194. Its totient is φ = 385192.

The previous prime is 385171. The next prime is 385199. The reversal of 385193 is 391583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 162409 = 472^2 + 403^2 .

It is a cyclic number.

It is not a de Polignac number, because 385193 - 2⁶ = 385129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₃₂₆₉₉ and since 385193 and 32699 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385193.

It is not a weakly prime, because it can be changed into another prime (385199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192596 + 192597.

It is an arithmetic number, because the mean of its divisors is an integer number (192597).

2³⁸⁵¹⁹³ is an apocalyptic number.

It is an amenable number.

385193 is a deficient number, since it is larger than the sum of its proper divisors (1).

385193 is an equidigital number, since it uses as much as digits as its factorization.

385193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 29.

The square root of 385193 is about 620.6391866455. The cubic root of 385193 is about 72.7600175937.

It can be divided in two parts, 385 and 193, that multiplied together give a triangular number (74305 = T₃₈₅).

The spelling of 385193 in words is "three hundred eighty-five thousand, one hundred ninety-three".