852729 has 4 divisors (see below), whose sum is σ = 1136976. Its totient is φ = 568484.

The previous prime is 852689. The next prime is 852749. The reversal of 852729 is 927258.

852729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 852729 - 2¹² = 848633 is a prime.

It is a d-powerful number, because it can be written as 8⁶ + 5² + 7 + 2¹⁶ + 2¹⁹ + 9³ .

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

852729 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 852729.

It is not an unprimeable number, because it can be changed into a prime (852749) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142119 + ... + 142124.

It is an arithmetic number, because the mean of its divisors is an integer number (284244).

2⁸⁵²⁷²⁹ is an apocalyptic number.

It is an amenable number.

852729 is a deficient number, since it is larger than the sum of its proper divisors (284247).

852729 is a wasteful number, since it uses less digits than its factorization.

852729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284246.

The product of its digits is 10080, while the sum is 33.

The square root of 852729 is about 923.4332677568. The cubic root of 852729 is about 94.8280916945.

Subtracting 852729 from its reverse (927258), we obtain a square (74529 = 273²).

The spelling of 852729 in words is "eight hundred fifty-two thousand, seven hundred twenty-nine".