99735 has 16 divisors (see below), whose sum is σ = 163680. Its totient is φ = 51840.

The previous prime is 99733. The next prime is 99761. The reversal of 99735 is 53799.

It is not a de Polignac number, because 99735 - 2¹ = 99733 is a prime.

99735 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 99696 and 99705.

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 99735.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2⁹⁹⁷³⁵ is an apocalyptic number.

99735 is a deficient number, since it is larger than the sum of its proper divisors (63945).

99735 is a wasteful number, since it uses less digits than its factorization.

99735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its digits is 8505, while the sum is 33.

The square root of 99735 is about 315.8084862698. The cubic root of 99735 is about 46.3748513641.

The spelling of 99735 in words is "ninety-nine thousand, seven hundred thirty-five".