12804729 has 12 divisors (see below), whose sum is σ = 19860624. Its totient is φ = 7316904.

The previous prime is 12804719. The next prime is 12804731. The reversal of 12804729 is 92740821.

12804729 = 487² + 488² + ... + 535².

It is a happy number.

12804729 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12804729 - 2¹¹ = 12802681 is a prime.

It is a super-3 number, since 3×12804729³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12804729.

It is not an unprimeable number, because it can be changed into a prime (12804709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43407 + ... + 43700.

It is an arithmetic number, because the mean of its divisors is an integer number (1655052).

Almost surely, 2^12804729 is an apocalyptic number.

It is an amenable number.

12804729 is a deficient number, since it is larger than the sum of its proper divisors (7055895).

12804729 is an equidigital number, since it uses as much as digits as its factorization.

12804729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87124 (or 87117 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12804729 is about 3578.3696008098. The cubic root of 12804729 is about 233.9502231765.

The spelling of 12804729 in words is "twelve million, eight hundred four thousand, seven hundred twenty-nine".