820707029 has 2 divisors, whose sum is σ = 820707030. Its totient is φ = 820707028.

The previous prime is 820706947. The next prime is 820707059. The reversal of 820707029 is 920707028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417098929 + 403608100 = 20423^2 + 20090^2 .

It is a cyclic number.

It is not a de Polignac number, because 820707029 - 2²⁰ = 819658453 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820707029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820707059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410353514 + 410353515.

It is an arithmetic number, because the mean of its divisors is an integer number (410353515).

Almost surely, 2^820707029 is an apocalyptic number.

It is an amenable number.

820707029 is a deficient number, since it is larger than the sum of its proper divisors (1).

820707029 is an equidigital number, since it uses as much as digits as its factorization.

820707029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 820707029 is about 28647.9847284237. The cubic root of 820707029 is about 936.2590981188.

Subtracting 820707029 from its reverse (920707028), we obtain a palindrome (99999999).

The spelling of 820707029 in words is "eight hundred twenty million, seven hundred seven thousand, twenty-nine".