34533 has 8 divisors (see below), whose sum is σ = 51200. Its totient is φ = 23004.

The previous prime is 34519. The next prime is 34537. The reversal of 34533 is 33543.

It is a happy number.

34533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34533 - 2⁵ = 34501 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613 + ... + 666.

It is an arithmetic number, because the mean of its divisors is an integer number (6400).

2³⁴⁵³³ is an apocalyptic number.

It is an amenable number.

34533 is a deficient number, since it is larger than the sum of its proper divisors (16667).

34533 is a wasteful number, since it uses less digits than its factorization.

34533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 34533 is about 185.8305679914. The cubic root of 34533 is about 32.5645266341.

Subtracting from 34533 its reverse (33543), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 345 and 33, that added together give a triangular number (378 = T₂₇).

The spelling of 34533 in words is "thirty-four thousand, five hundred thirty-three".