820085753 has 2 divisors, whose sum is σ = 820085754. Its totient is φ = 820085752.

The previous prime is 820085737. The next prime is 820085767. The reversal of 820085753 is 357580028.

820085753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 673506304 + 146579449 = 25952^2 + 12107^2 .

It is a cyclic number.

It is not a de Polignac number, because 820085753 - 2⁴ = 820085737 is a prime.

It is not a weakly prime, because it can be changed into another prime (820085053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410042876 + 410042877.

It is an arithmetic number, because the mean of its divisors is an integer number (410042877).

Almost surely, 2^820085753 is an apocalyptic number.

It is an amenable number.

820085753 is a deficient number, since it is larger than the sum of its proper divisors (1).

820085753 is an equidigital number, since it uses as much as digits as its factorization.

820085753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 820085753 is about 28637.1393997375. The cubic root of 820085753 is about 936.0227888046.

The spelling of 820085753 in words is "eight hundred twenty million, eighty-five thousand, seven hundred fifty-three".