820933 has 4 divisors (see below), whose sum is σ = 864160. Its totient is φ = 777708.

The previous prime is 820927. The next prime is 820957. The reversal of 820933 is 339028.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 820933 - 2⁵ = 820901 is a prime.

It is a Duffinian number.

820933 is a lucky number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 820898 and 820907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21585 + ... + 21622.

It is an arithmetic number, because the mean of its divisors is an integer number (216040).

2⁸²⁰⁹³³ is an apocalyptic number.

It is an amenable number.

820933 is a deficient number, since it is larger than the sum of its proper divisors (43227).

820933 is a wasteful number, since it uses less digits than its factorization.

820933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43226.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 820933 is about 906.0535304274. The cubic root of 820933 is about 93.6345019153.

The spelling of 820933 in words is "eight hundred twenty thousand, nine hundred thirty-three".