820539 has 24 divisors (see below), whose sum is σ = 1302912. Its totient is φ = 495360.

The previous prime is 820537. The next prime is 820541. The reversal of 820539 is 935028.

820539 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (820537) and next prime (820541).

It is not a de Polignac number, because 820539 - 2¹ = 820537 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 4657 + ... + 4829.

It is an arithmetic number, because the mean of its divisors is an integer number (54288).

2⁸²⁰⁵³⁹ is an apocalyptic number.

820539 is a deficient number, since it is larger than the sum of its proper divisors (482373).

820539 is a wasteful number, since it uses less digits than its factorization.

820539 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 820539 is about 905.8360778861. The cubic root of 820539 is about 93.6195198167.

The spelling of 820539 in words is "eight hundred twenty thousand, five hundred thirty-nine".