820583 has 4 divisors (see below), whose sum is σ = 828360. Its totient is φ = 812808.

The previous prime is 820577. The next prime is 820597. The reversal of 820583 is 385028.

820583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820583 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826583) 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, 3728 + ... + 3941.

It is an arithmetic number, because the mean of its divisors is an integer number (207090).

2⁸²⁰⁵⁸³ is an apocalyptic number.

820583 is a deficient number, since it is larger than the sum of its proper divisors (7777).

820583 is a wasteful number, since it uses less digits than its factorization.

820583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 820583 is about 905.8603645154. The cubic root of 820583 is about 93.6211931824.

The spelling of 820583 in words is "eight hundred twenty thousand, five hundred eighty-three".