8385729 has 24 divisors (see below), whose sum is σ = 12577632. Its totient is φ = 4927680.

The previous prime is 8385721. The next prime is 8385733. The reversal of 8385729 is 9275838.

It is not a de Polignac number, because 8385729 - 2³ = 8385721 is a prime.

It is a super-2 number, since 2×8385729² = 140640901722882, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8385721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114837 + ... + 114909.

It is an arithmetic number, because the mean of its divisors is an integer number (524068).

Almost surely, 2^8385729 is an apocalyptic number.

It is an amenable number.

8385729 is a deficient number, since it is larger than the sum of its proper divisors (4191903).

8385729 is a wasteful number, since it uses less digits than its factorization.

8385729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 146 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 8385729 is about 2895.8123212667. The cubic root of 8385729 is about 203.1640871210.

The spelling of 8385729 in words is "eight million, three hundred eighty-five thousand, seven hundred twenty-nine".