535833 has 12 divisors (see below), whose sum is σ = 801060. Its totient is φ = 344736.

The previous prime is 535811. The next prime is 535849. The reversal of 535833 is 338535.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 257049 = 528^2 + 507^2 .

It is not a de Polignac number, because 535833 - 2¹⁶ = 470297 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5 + 3⁷ + 8 + 5 + 3⁷ + 3¹² .

It is a junction number, because it is equal to n+sod(n) for n = 535797 and 535806.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535833.

It is not an unprimeable number, because it can be changed into a prime (535033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 766 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (66755).

2⁵³⁵⁸³³ is an apocalyptic number.

It is an amenable number.

535833 is a deficient number, since it is larger than the sum of its proper divisors (265227).

535833 is a wasteful number, since it uses less digits than its factorization.

535833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2085 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 535833 is about 732.0061475152. The cubic root of 535833 is about 81.2225248324. Note that the first 3 decimals are identical.

It can be divided in two parts, 53 and 5833, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 535833 in words is "five hundred thirty-five thousand, eight hundred thirty-three".