82533 has 16 divisors (see below), whose sum is σ = 124992. Its totient is φ = 48000.

The previous prime is 82531. The next prime is 82549. The reversal of 82533 is 33528.

It is not a de Polignac number, because 82533 - 2¹ = 82531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁸²⁵³³ is an apocalyptic number.

It is an amenable number.

82533 is a deficient number, since it is larger than the sum of its proper divisors (42459).

82533 is a wasteful number, since it uses less digits than its factorization.

82533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 720, while the sum is 21.

The square root of 82533 is about 287.2855722100. The cubic root of 82533 is about 43.5387420739.

It can be divided in two parts, 8253 and 3, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 82533 in words is "eighty-two thousand, five hundred thirty-three".