383985 has 48 divisors (see below), whose sum is σ = 808704. Its totient is φ = 164736.

The previous prime is 383983. The next prime is 383987. The reversal of 383985 is 589383.

383985 = 106² + 107² + ... + 132².

It is an interprime number because it is at equal distance from previous prime (383983) and next prime (383987).

It is not a de Polignac number, because 383985 - 2¹ = 383983 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 383985.

It is not an unprimeable number, because it can be changed into a prime (383983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7219 + ... + 7271.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2³⁸³⁹⁸⁵ is an apocalyptic number.

383985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

383985 is an abundant number, since it is smaller than the sum of its proper divisors (424719).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383985 is a wasteful number, since it uses less digits than its factorization.

383985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

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

The square root of 383985 is about 619.6652322020. The cubic root of 383985 is about 72.6838772840.

The spelling of 383985 in words is "three hundred eighty-three thousand, nine hundred eighty-five".