829001 has 2 divisors, whose sum is σ = 829002. Its totient is φ = 829000.

The previous prime is 828977. The next prime is 829013. The reversal of 829001 is 100928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 739600 + 89401 = 860^2 + 299^2 .

It is a cyclic number.

It is not a de Polignac number, because 829001 - 2¹⁸ = 566857 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (829501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414500 + 414501.

It is an arithmetic number, because the mean of its divisors is an integer number (414501).

2⁸²⁹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

829001 is a deficient number, since it is larger than the sum of its proper divisors (1).

829001 is an equidigital number, since it uses as much as digits as its factorization.

829001 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 829001 is about 910.4949203593. The cubic root of 829001 is about 93.9402442003.

Adding to 829001 its reverse (100928), we get a palindrome (929929).

The spelling of 829001 in words is "eight hundred twenty-nine thousand, one".