98392 has 24 divisors (see below), whose sum is σ = 215460. Its totient is φ = 42000.

The previous prime is 98389. The next prime is 98407. The reversal of 98392 is 29389.

It is a happy number.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267 + ... + 517.

2⁹⁸³⁹² 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 98392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107730).

98392 is an abundant number, since it is smaller than the sum of its proper divisors (117068).

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

98392 is a wasteful number, since it uses less digits than its factorization.

98392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 98392 is about 313.6749910337. The cubic root of 98392 is about 46.1657536228.

It can be divided in two parts, 98 and 392, that multiplied together give a 4-th power (38416 = 14⁴).

The spelling of 98392 in words is "ninety-eight thousand, three hundred ninety-two".