98032 has 20 divisors (see below), whose sum is σ = 207576. Its totient is φ = 44480.

The previous prime is 98017. The next prime is 98041. The reversal of 98032 is 23089.

It is a super-2 number, since 2×98032² = 19220546048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 97994 and 98012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103 + ... + 454.

2⁹⁸⁰³² is an apocalyptic number.

It is an amenable number.

98032 is an abundant number, since it is smaller than the sum of its proper divisors (109544).

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 (103788).

98032 is a wasteful number, since it uses less digits than its factorization.

98032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 98032 is about 313.1006228036. The cubic root of 98032 is about 46.1093805364.

Adding to 98032 its reverse (23089), we get a palindrome (121121).

The spelling of 98032 in words is "ninety-eight thousand, thirty-two".