1000829 has 2 divisors, whose sum is σ = 1000830. Its totient is φ = 1000828.

The previous prime is 1000793. The next prime is 1000847. The reversal of 1000829 is 9280001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 912025 + 88804 = 955^2 + 298^2 .

It is an emirp because it is prime and its reverse (9280001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000849) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500414 + 500415.

It is an arithmetic number, because the mean of its divisors is an integer number (500415).

2^1000829 is an apocalyptic number.

It is an amenable number.

1000829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000829 is an equidigital number, since it uses as much as digits as its factorization.

1000829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1000829 is about 1000.4144141305. The cubic root of 1000829 is about 100.0276257008.

The spelling of 1000829 in words is "one million, eight hundred twenty-nine", and thus it is an aban number.