852729721 has 2 divisors, whose sum is σ = 852729722. Its totient is φ = 852729720.

The previous prime is 852729701. The next prime is 852729727. The reversal of 852729721 is 127927258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522762496 + 329967225 = 22864^2 + 18165^2 .

It is a cyclic number.

It is not a de Polignac number, because 852729721 - 2²¹ = 850632569 is a prime.

It is not a weakly prime, because it can be changed into another prime (852729727) 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, 426364860 + 426364861.

It is an arithmetic number, because the mean of its divisors is an integer number (426364861).

Almost surely, 2^852729721 is an apocalyptic number.

It is an amenable number.

852729721 is a deficient number, since it is larger than the sum of its proper divisors (1).

852729721 is an equidigital number, since it uses as much as digits as its factorization.

852729721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 43.

The square root of 852729721 is about 29201.5362780796. The cubic root of 852729721 is about 948.2811842083.

The spelling of 852729721 in words is "eight hundred fifty-two million, seven hundred twenty-nine thousand, seven hundred twenty-one".