99837 has 6 divisors (see below), whose sum is σ = 144222. Its totient is φ = 66552.

The previous prime is 99833. The next prime is 99839. The reversal of 99837 is 73899.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 4356 = 309^2 + 66^2 .

It is not a de Polignac number, because 99837 - 2² = 99833 is a prime.

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 99837.

It is not an unprimeable number, because it can be changed into a prime (99833) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5538 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (24037).

2⁹⁹⁸³⁷ is an apocalyptic number.

It is an amenable number.

99837 is a deficient number, since it is larger than the sum of its proper divisors (44385).

99837 is a wasteful number, since it uses less digits than its factorization.

99837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11096 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 99837 is about 315.9699352787. The cubic root of 99837 is about 46.3906553219.

It can be divided in two parts, 998 and 37, that added together give a triangular number (1035 = T₄₅).

The spelling of 99837 in words is "ninety-nine thousand, eight hundred thirty-seven".