385993 has 4 divisors (see below), whose sum is σ = 390420. Its totient is φ = 381568.

The previous prime is 385991. The next prime is 385997. The reversal of 385993 is 399583.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29584 + 356409 = 172^2 + 597^2 .

It is a cyclic number.

It is not a de Polignac number, because 385993 - 2¹ = 385991 is a prime.

It is a Duffinian number.

385993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (385991) 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 in 3 ways as a sum of consecutive naturals, for example, 2080 + ... + 2257.

It is an arithmetic number, because the mean of its divisors is an integer number (97605).

2³⁸⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

385993 is a deficient number, since it is larger than the sum of its proper divisors (4427).

385993 is an equidigital number, since it uses as much as digits as its factorization.

385993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426.

The product of its digits is 29160, while the sum is 37.

The square root of 385993 is about 621.2833492055. The cubic root of 385993 is about 72.8103540601.

It can be divided in two parts, 385 and 993, that added together give a triangular number (1378 = T₅₂).

The spelling of 385993 in words is "three hundred eighty-five thousand, nine hundred ninety-three".