98292 has 12 divisors (see below), whose sum is σ = 229376. Its totient is φ = 32760.

The previous prime is 98269. The next prime is 98297. The reversal of 98292 is 29289.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×98292² = 19322634528, which contains 22 as substring.

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 98292.

It is not an unprimeable number, because it can be changed into a prime (98297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4084 + ... + 4107.

2⁹⁸²⁹² is an apocalyptic number.

It is an amenable number.

98292 is an abundant number, since it is smaller than the sum of its proper divisors (131084).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114688).

98292 is a wasteful number, since it uses less digits than its factorization.

98292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8196 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 98292 is about 313.5155498536. The cubic root of 98292 is about 46.1501082443.

The spelling of 98292 in words is "ninety-eight thousand, two hundred ninety-two".