12829047 has 64 divisors (see below), whose sum is σ = 23347200. Its totient is φ = 6065280.

The previous prime is 12829039. The next prime is 12829087. The reversal of 12829047 is 74092821.

It is a happy number.

It is not a de Polignac number, because 12829047 - 2³ = 12829039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12828999 and 12829017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12829027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162354 + ... + 162432.

It is an arithmetic number, because the mean of its divisors is an integer number (364800).

Almost surely, 2^12829047 is an apocalyptic number.

12829047 is a deficient number, since it is larger than the sum of its proper divisors (10518153).

12829047 is a wasteful number, since it uses less digits than its factorization.

12829047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

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

The square root of 12829047 is about 3581.7659052484. The cubic root of 12829047 is about 234.0982310932.

The spelling of 12829047 in words is "twelve million, eight hundred twenty-nine thousand, forty-seven".