820533 has 16 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 456960.

The previous prime is 820489. The next prime is 820537. The reversal of 820533 is 335028.

It is not a de Polignac number, because 820533 - 2¹⁰ = 819509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

820533 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

2⁸²⁰⁵³³ is an apocalyptic number.

It is an amenable number.

820533 is a deficient number, since it is larger than the sum of its proper divisors (461643).

820533 is a wasteful number, since it uses less digits than its factorization.

820533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

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

The square root of 820533 is about 905.8327660225. The cubic root of 820533 is about 93.6192916259.

The spelling of 820533 in words is "eight hundred twenty thousand, five hundred thirty-three".