98384 has 40 divisors (see below), whose sum is σ = 229152. Its totient is φ = 40320.

The previous prime is 98377. The next prime is 98387. The reversal of 98384 is 48389.

98384 = T₄₅ + T₄₆ + ... + T₈₇.

It is a super-2 number, since 2×98384² = 19358822912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98384.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98384.

It is not an unprimeable number, because it can be changed into a prime (98387) by changing a digit.

98384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2267 + ... + 2309.

2⁹⁸³⁸⁴ 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 98384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576).

98384 is an abundant number, since it is smaller than the sum of its proper divisors (130768).

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

98384 is a wasteful number, since it uses less digits than its factorization.

98384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 98384 is about 313.6622387218. The cubic root of 98384 is about 46.1645023828.

The spelling of 98384 in words is "ninety-eight thousand, three hundred eighty-four".