820210 has 8 divisors (see below), whose sum is σ = 1476396. Its totient is φ = 328080.

The previous prime is 820201. The next prime is 820213. The reversal of 820210 is 12028.

820210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 762129 + 58081 = 873^2 + 241^2 .

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

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (820213) 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, 41001 + ... + 41020.

2⁸²⁰²¹⁰ is an apocalyptic number.

820210 is a deficient number, since it is larger than the sum of its proper divisors (656186).

820210 is a wasteful number, since it uses less digits than its factorization.

820210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82028.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 820210 is about 905.6544594932. The cubic root of 820210 is about 93.6070057093.

Adding to 820210 its reverse (12028), we get a palindrome (832238).

The spelling of 820210 in words is "eight hundred twenty thousand, two hundred ten".