820013 has 4 divisors (see below), whose sum is σ = 832320. Its totient is φ = 807708.

The previous prime is 819991. The next prime is 820037. The reversal of 820013 is 310028.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 820013 - 2¹⁴ = 803629 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820073) 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, 6053 + ... + 6186.

It is an arithmetic number, because the mean of its divisors is an integer number (208080).

2⁸²⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

820013 is a deficient number, since it is larger than the sum of its proper divisors (12307).

820013 is a wasteful number, since it uses less digits than its factorization.

820013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 820013 is about 905.5456918345. The cubic root of 820013 is about 93.5995108577.

The spelling of 820013 in words is "eight hundred twenty thousand, thirteen".