98892 has 36 divisors (see below), whose sum is σ = 259896. Its totient is φ = 31680.

The previous prime is 98887. The next prime is 98893. The reversal of 98892 is 29889.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 9⁴ + 8³ + 8⁵ + 9⁵ + 2 .

It is not an unprimeable number, because it can be changed into a prime (98893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1443 + ... + 1509.

2⁹⁸⁸⁹² 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 98892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129948).

98892 is an abundant number, since it is smaller than the sum of its proper divisors (161004).

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

98892 is a wasteful number, since it uses less digits than its factorization.

98892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 98892 is about 314.4709843531. The cubic root of 98892 is about 46.2438219164.

It can be divided in two parts, 98 and 892, that added together give a triangular number (990 = T₄₄).

The spelling of 98892 in words is "ninety-eight thousand, eight hundred ninety-two".