387584 has 20 divisors (see below), whose sum is σ = 775434. Its totient is φ = 193536.

The previous prime is 387577. The next prime is 387587. The reversal of 387584 is 485783.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 73984 = 560^2 + 272^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387584.

It is not an unprimeable number, because it can be changed into a prime (387587) by changing a digit.

387584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134 + ... + 890.

2³⁸⁷⁵⁸⁴ 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 387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387717).

387584 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

387584 is an frugal number, since it uses more digits than its factorization.

387584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 759 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 387584 is about 622.5624466670. The cubic root of 387584 is about 72.9102543840.

The spelling of 387584 in words is "three hundred eighty-seven thousand, five hundred eighty-four".