387500 has 36 divisors (see below), whose sum is σ = 874944. Its totient is φ = 150000.

The previous prime is 387493. The next prime is 387503. The reversal of 387500 is 5783.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387500.

It is not an unprimeable number, because it can be changed into a prime (387503) 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 11 ways as a sum of consecutive naturals, for example, 12485 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2³⁸⁷⁵⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

387500 is an abundant number, since it is smaller than the sum of its proper divisors (487444).

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

387500 is an equidigital number, since it uses as much as digits as its factorization.

387500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 387500 is about 622.4949798994. The cubic root of 387500 is about 72.9049867913.

The spelling of 387500 in words is "three hundred eighty-seven thousand, five hundred".