12829000 has 32 divisors (see below), whose sum is σ = 30022200. Its totient is φ = 5131200.

The previous prime is 12828997. The next prime is 12829013. The reversal of 12829000 is 92821.

It can be written as a sum of positive squares in 4 ways, for example, as 5635876 + 7193124 = 2374^2 + 2682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5415 + ... + 7414.

Almost surely, 2^12829000 is an apocalyptic number.

12829000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12829000 is an abundant number, since it is smaller than the sum of its proper divisors (17193200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12829000 is a wasteful number, since it uses less digits than its factorization.

12829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12850 (or 12836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12829000 is about 3581.7593442329. The cubic root of 12829000 is about 234.0979452151.

The spelling of 12829000 in words is "twelve million, eight hundred twenty-nine thousand".