12829761 has 24 divisors (see below), whose sum is σ = 21700224. Its totient is φ = 7151040.

The previous prime is 12829757. The next prime is 12829793. The reversal of 12829761 is 16792821.

It is not a de Polignac number, because 12829761 - 2² = 12829757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12829711) 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, 100 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 2^12829761 is an apocalyptic number.

It is an amenable number.

12829761 is a deficient number, since it is larger than the sum of its proper divisors (8870463).

12829761 is a wasteful number, since it uses less digits than its factorization.

12829761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5018 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12829761 is about 3581.8655753671. The cubic root of 12829761 is about 234.1025739212.

The spelling of 12829761 in words is "twelve million, eight hundred twenty-nine thousand, seven hundred sixty-one".