99892 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 43008.

The previous prime is 99881. The next prime is 99901. The reversal of 99892 is 29899.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 99856 = 6^2 + 316^2 .

It is a congruent number.

It is an unprimeable number.

99892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 940.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁹⁹⁸⁹² is an apocalyptic number.

It is an amenable number.

99892 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (100548).

99892 is a wasteful number, since it uses less digits than its factorization.

99892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its digits is 11664, while the sum is 37.

The square root of 99892 is about 316.0569568923. The cubic root of 99892 is about 46.3991725972.

Adding to 99892 its product of digits (11664), we get a square (111556 = 334²).

The spelling of 99892 in words is "ninety-nine thousand, eight hundred ninety-two".