386984 has 24 divisors (see below), whose sum is σ = 794430. Its totient is φ = 175680.

The previous prime is 386977. The next prime is 386987. The reversal of 386984 is 489683.

It can be written as a sum of positive squares in 3 ways, for example, as 52900 + 334084 = 230^2 + 578^2 .

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 386984.

It is not an unprimeable number, because it can be changed into a prime (386987) by changing a digit.

386984 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6314 + ... + 6374.

2³⁸⁶⁹⁸⁴ 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 386984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397215).

386984 is an abundant number, since it is smaller than the sum of its proper divisors (407446).

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

386984 is a wasteful number, since it uses less digits than its factorization.

386984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 76 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 386984 is about 622.0803806583. The cubic root of 386984 is about 72.8726120098.

The spelling of 386984 in words is "three hundred eighty-six thousand, nine hundred eighty-four".