820523 has 8 divisors (see below), whose sum is σ = 905520. Its totient is φ = 737280.

The previous prime is 820489. The next prime is 820537. The reversal of 820523 is 325028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820523 - 2⁶ = 820459 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820495 and 820504.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820523.

It is not an unprimeable number, because it can be changed into a prime (820223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (113190).

2⁸²⁰⁵²³ is an apocalyptic number.

820523 is a deficient number, since it is larger than the sum of its proper divisors (84997).

820523 is a wasteful number, since it uses less digits than its factorization.

820523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 820523 is about 905.8272462230. The cubic root of 820523 is about 93.6189113053.

It can be divided in two parts, 8205 and 23, that added together give a palindrome (8228).

The spelling of 820523 in words is "eight hundred twenty thousand, five hundred twenty-three".