820051 has 2 divisors, whose sum is σ = 820052. Its totient is φ = 820050.

The previous prime is 820037. The next prime is 820067. The reversal of 820051 is 150028.

It is a happy number.

It is an a-pointer prime, because the next prime (820067) can be obtained adding 820051 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820051 - 2¹⁷ = 688979 is a prime.

820051 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (823051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410025 + 410026.

It is an arithmetic number, because the mean of its divisors is an integer number (410026).

2⁸²⁰⁰⁵¹ is an apocalyptic number.

820051 is a deficient number, since it is larger than the sum of its proper divisors (1).

820051 is an equidigital number, since it uses as much as digits as its factorization.

820051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 820051 is about 905.5666734151. The cubic root of 820051 is about 93.6009566586.

Adding to 820051 its reverse (150028), we get a palindrome (970079).

The spelling of 820051 in words is "eight hundred twenty thousand, fifty-one".