820033 has 4 divisors (see below), whose sum is σ = 848340. Its totient is φ = 791728.

The previous prime is 819991. The next prime is 820037. The reversal of 820033 is 330028.

It is a happy number.

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 368449 + 451584 = 607^2 + 672^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820033 is a prime.

It is a Duffinian number.

820033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 819989 and 820016.

It is not an unprimeable number, because it can be changed into a prime (820037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14110 + ... + 14167.

It is an arithmetic number, because the mean of its divisors is an integer number (212085).

2⁸²⁰⁰³³ is an apocalyptic number.

It is an amenable number.

820033 is a deficient number, since it is larger than the sum of its proper divisors (28307).

820033 is a wasteful number, since it uses less digits than its factorization.

820033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28306.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 820033 is about 905.5567348322. The cubic root of 820033 is about 93.6002718111.

The spelling of 820033 in words is "eight hundred twenty thousand, thirty-three".