98192 has 30 divisors (see below), whose sum is σ = 212598. Its totient is φ = 43776.

The previous prime is 98179. The next prime is 98207. The reversal of 98192 is 29189.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 5776 = 304^2 + 76^2 .

It is an unprimeable number.

98192 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 5 ways as a sum of consecutive naturals, for example, 5159 + ... + 5177.

2⁹⁸¹⁹² 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 98192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106299).

98192 is an abundant number, since it is smaller than the sum of its proper divisors (114406).

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

98192 is a wasteful number, since it uses less digits than its factorization.

98192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its digits is 1296, while the sum is 29.

The square root of 98192 is about 313.3560275469. The cubic root of 98192 is about 46.1344522507.

The spelling of 98192 in words is "ninety-eight thousand, one hundred ninety-two".