99333 has 16 divisors (see below), whose sum is σ = 159040. Its totient is φ = 60912.

The previous prime is 99317. The next prime is 99347. The reversal of 99333 is 33399.

It is not a de Polignac number, because 99333 - 2⁴ = 99317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

99333 is a modest number, since divided by 333 gives 99 as remainder.

99333 is a lucky number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99297 and 99306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (9940).

2⁹⁹³³³ is an apocalyptic number.

It is an amenable number.

99333 is a deficient number, since it is larger than the sum of its proper divisors (59707).

99333 is a wasteful number, since it uses less digits than its factorization.

99333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 99333 is about 315.1713819496. The cubic root of 99333 is about 46.3124600468.

The spelling of 99333 in words is "ninety-nine thousand, three hundred thirty-three".