84033 has 6 divisors (see below), whose sum is σ = 121394. Its totient is φ = 56016.

The previous prime is 84017. The next prime is 84047. The reversal of 84033 is 33048.

84033 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 1089 = 288^2 + 33^2 .

It is not a de Polignac number, because 84033 - 2⁴ = 84017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83997 and 84015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84033.

It is not an unprimeable number, because it can be changed into a prime (84053) 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 5 ways as a sum of consecutive naturals, for example, 4660 + ... + 4677.

2⁸⁴⁰³³ is an apocalyptic number.

It is an amenable number.

84033 is a deficient number, since it is larger than the sum of its proper divisors (37361).

84033 is a wasteful number, since it uses less digits than its factorization.

84033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 84033 is about 289.8844597422. The cubic root of 84033 is about 43.8009257326.

The spelling of 84033 in words is "eighty-four thousand, thirty-three".