398984 has 16 divisors (see below), whose sum is σ = 763020. Its totient is φ = 195520.

The previous prime is 398977. The next prime is 398989. The reversal of 398984 is 489893.

It can be written as a sum of positive squares in 2 ways, for example, as 386884 + 12100 = 622^2 + 110^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398984.

It is not an unprimeable number, because it can be changed into a prime (398989) by changing a digit.

398984 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 in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 894.

2³⁹⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

398984 is a deficient number, since it is larger than the sum of its proper divisors (364036).

398984 is a wasteful number, since it uses less digits than its factorization.

398984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 398984 is about 631.6518028154. The cubic root of 398984 is about 73.6181941472.

Subtracting 398984 from its reverse (489893), we obtain a palindrome (90909).

The spelling of 398984 in words is "three hundred ninety-eight thousand, nine hundred eighty-four".