820063 has 4 divisors (see below), whose sum is σ = 868320. Its totient is φ = 771808.

The previous prime is 820051. The next prime is 820067. The reversal of 820063 is 360028.

820063 is nontrivially palindromic in base 7.

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

It is a cyclic number.

It is not a de Polignac number, because 820063 - 2¹³ = 811871 is a prime.

It is a Duffinian number.

820063 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 820063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24103 + ... + 24136.

It is an arithmetic number, because the mean of its divisors is an integer number (217080).

2⁸²⁰⁰⁶³ is an apocalyptic number.

820063 is a deficient number, since it is larger than the sum of its proper divisors (48257).

820063 is a wasteful number, since it uses less digits than its factorization.

820063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48256.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 820063 is about 905.5732990763. The cubic root of 820063 is about 93.6014132180.

The spelling of 820063 in words is "eight hundred twenty thousand, sixty-three".