852729121 has 16 divisors (see below), whose sum is σ = 909772288. Its totient is φ = 797817600.

The previous prime is 852729109. The next prime is 852729149. The reversal of 852729121 is 121927258.

852729121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 2-Lehmer number, since φ(852729121) divides (852729121-1)².

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 852729121 - 2⁹ = 852728609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_852729120.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (852729721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184681 + ... + 189241.

It is an arithmetic number, because the mean of its divisors is an integer number (56860768).

It is a Poulet number, since it divides 2^852729120-1.

Almost surely, 2^852729121 is an apocalyptic number.

It is an amenable number.

852729121 is a deficient number, since it is larger than the sum of its proper divisors (57043167).

852729121 is a wasteful number, since it uses less digits than its factorization.

852729121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792.

The product of its digits is 20160, while the sum is 37.

The square root of 852729121 is about 29201.5260046457. The cubic root of 852729121 is about 948.2809617975.

The spelling of 852729121 in words is "eight hundred fifty-two million, seven hundred twenty-nine thousand, one hundred twenty-one".