385084 has 24 divisors (see below), whose sum is σ = 816480. Its totient is φ = 155136.

The previous prime is 385081. The next prime is 385087. The reversal of 385084 is 480583.

It is an interprime number because it is at equal distance from previous prime (385081) and next prime (385087).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 880.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2³⁸⁵⁰⁸⁴ is an apocalyptic number.

385084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

385084 is an abundant number, since it is smaller than the sum of its proper divisors (431396).

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

385084 is a wasteful number, since it uses less digits than its factorization.

385084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 385084 is about 620.5513677368. The cubic root of 385084 is about 72.7531538569.

The spelling of 385084 in words is "three hundred eighty-five thousand, eighty-four".