385875 has 48 divisors (see below), whose sum is σ = 811200. Its totient is φ = 176400.

The previous prime is 385859. The next prime is 385877. The reversal of 385875 is 578583.

385875 = 15^{3} + 16^{3} + ... + 35^{3}.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 385875 - 2^{4} = 385859 is a prime.

It is an Ulam number.

Its product of digits (33600) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (385877) 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 47 ways as a sum of consecutive naturals, for example, 55122 + ... + 55128.

It is an arithmetic number, because the mean of its divisors is an integer number (16900).

2^{385875} is an apocalyptic number.

385875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

385875 is an abundant number, since it is smaller than the sum of its proper divisors (425325).

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

385875 is an equidigital number, since it uses as much as digits as its factorization.

385875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 15 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 385875 is about 621.1883772255. The cubic root of 385875 is about 72.8029338068.

The spelling of 385875 in words is "three hundred eighty-five thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 343 375 441 525 735 875 1029 1125 1225 1575 1715 2205 2625 3087 3675 5145 6125 7875 8575 11025 15435 18375 25725 42875 55125 77175 128625 385875

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