820029 has 16 divisors (see below), whose sum is σ = 1323648. Its totient is φ = 440832.

The previous prime is 819991. The next prime is 820037. The reversal of 820029 is 920028.

820029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820029 - 2⁸ = 819773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 819987 and 820014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (82728).

2⁸²⁰⁰²⁹ is an apocalyptic number.

It is an amenable number.

820029 is a deficient number, since it is larger than the sum of its proper divisors (503619).

820029 is a wasteful number, since it uses less digits than its factorization.

820029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 820029 is about 905.5545262435. The cubic root of 820029 is about 93.6001196214.

Subtracting 820029 from its reverse (920028), we obtain a palindrome (99999).

The spelling of 820029 in words is "eight hundred twenty thousand, twenty-nine".