385983 has 12 divisors (see below), whose sum is σ = 600600. Its totient is φ = 237456.

The previous prime is 385967. The next prime is 385991. The reversal of 385983 is 389583.

It is not a de Polignac number, because 385983 - 2⁴ = 385967 is a prime.

385983 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385983.

It is not an unprimeable number, because it can be changed into a prime (385943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1533 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (50050).

2³⁸⁵⁹⁸³ is an apocalyptic number.

385983 is a deficient number, since it is larger than the sum of its proper divisors (214617).

385983 is a wasteful number, since it uses less digits than its factorization.

385983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3315 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 385983 is about 621.2753012956. The cubic root of 385983 is about 72.8097252837.

Subtracting from 385983 its product of digits (25920), we obtain a palindrome (360063).

Subtracting 385983 from its reverse (389583), we obtain a square (3600 = 60²).

The spelling of 385983 in words is "three hundred eighty-five thousand, nine hundred eighty-three".