99736 has 32 divisors (see below), whose sum is σ = 231840. Its totient is φ = 39168.

The previous prime is 99733. The next prime is 99761. The reversal of 99736 is 63799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99733) by changing a digit.

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, 660 + ... + 796.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

2⁹⁹⁷³⁶ 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 99736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920).

99736 is an abundant number, since it is smaller than the sum of its proper divisors (132104).

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

99736 is a wasteful number, since it uses less digits than its factorization.

99736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its digits is 10206, while the sum is 34.

The square root of 99736 is about 315.8100695038. The cubic root of 99736 is about 46.3750063571.

Subtracting from 99736 its reverse (63799), we obtain a cube (35937 = 33³).

The spelling of 99736 in words is "ninety-nine thousand, seven hundred thirty-six".