820898753 has 2 divisors, whose sum is σ = 820898754. Its totient is φ = 820898752.

The previous prime is 820898747. The next prime is 820898789. The reversal of 820898753 is 357898028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 470759809 + 350138944 = 21697^2 + 18712^2 .

It is a cyclic number.

It is not a de Polignac number, because 820898753 - 2¹⁰ = 820897729 is a prime.

It is not a weakly prime, because it can be changed into another prime (820898153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410449376 + 410449377.

It is an arithmetic number, because the mean of its divisors is an integer number (410449377).

Almost surely, 2^820898753 is an apocalyptic number.

It is an amenable number.

820898753 is a deficient number, since it is larger than the sum of its proper divisors (1).

820898753 is an equidigital number, since it uses as much as digits as its factorization.

820898753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 820898753 is about 28651.3307369832. The cubic root of 820898753 is about 936.3319984177.

The spelling of 820898753 in words is "eight hundred twenty million, eight hundred ninety-eight thousand, seven hundred fifty-three".