820529 has 4 divisors (see below), whose sum is σ = 822900. Its totient is φ = 818160.

The previous prime is 820489. The next prime is 820537. The reversal of 820529 is 925028.

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

It can be written as a sum of positive squares in 2 ways, for example, as 255025 + 565504 = 505^2 + 752^2 .

It is a cyclic number.

It is not a de Polignac number, because 820529 - 2⁸ = 820273 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 820498 and 820507.

It is not an unprimeable number, because it can be changed into a prime (820559) 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, 554 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (205725).

2⁸²⁰⁵²⁹ is an apocalyptic number.

It is an amenable number.

820529 is a deficient number, since it is larger than the sum of its proper divisors (2371).

820529 is a wasteful number, since it uses less digits than its factorization.

820529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 820529 is about 905.8305581068. The cubic root of 820529 is about 93.6191394980.

The spelling of 820529 in words is "eight hundred twenty thousand, five hundred twenty-nine".