840033 has 6 divisors (see below), whose sum is σ = 1213394. Its totient is φ = 560016.

The previous prime is 840023. The next prime is 840053. The reversal of 840033 is 330048.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 154449 = 828^2 + 393^2 .

It is not a de Polignac number, because 840033 - 2¹⁰ = 839009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 839988 and 840015.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 840033.

It is not an unprimeable number, because it can be changed into a prime (840023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46660 + ... + 46677.

2⁸⁴⁰⁰³³ is an apocalyptic number.

It is an amenable number.

840033 is a deficient number, since it is larger than the sum of its proper divisors (373361).

840033 is a wasteful number, since it uses less digits than its factorization.

840033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93343 (or 93340 counting only the distinct ones).

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

The square root of 840033 is about 916.5331417903. The cubic root of 840033 is about 94.3551151767.

The spelling of 840033 in words is "eight hundred forty thousand, thirty-three".