384985 has 8 divisors (see below), whose sum is σ = 474696. Its totient is φ = 299520.

The previous prime is 384973. The next prime is 385001. The reversal of 384985 is 589483.

It can be written as a sum of positive squares in 4 ways, for example, as 84681 + 300304 = 291^2 + 548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 384985 - 2⁹ = 384473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 1225.

It is an arithmetic number, because the mean of its divisors is an integer number (59337).

2³⁸⁴⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

384985 is a deficient number, since it is larger than the sum of its proper divisors (89711).

384985 is a wasteful number, since it uses less digits than its factorization.

384985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123.

The product of its digits is 34560, while the sum is 37.

The square root of 384985 is about 620.4715948373. The cubic root of 384985 is about 72.7469186982.

It can be divided in two parts, 38498 and 5, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 384985 in words is "three hundred eighty-four thousand, nine hundred eighty-five".