829013 has 2 divisors, whose sum is σ = 829014. Its totient is φ = 829012.

The previous prime is 829001. The next prime is 829057. The reversal of 829013 is 310928.

829013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 605284 + 223729 = 778^2 + 473^2 .

It is a cyclic number.

It is not a de Polignac number, because 829013 - 2⁸ = 828757 is a prime.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 829013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (829063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414506 + 414507.

It is an arithmetic number, because the mean of its divisors is an integer number (414507).

2⁸²⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

829013 is a deficient number, since it is larger than the sum of its proper divisors (1).

829013 is an equidigital number, since it uses as much as digits as its factorization.

829013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 829013 is about 910.5015101580. The cubic root of 829013 is about 93.9406974677.

The spelling of 829013 in words is "eight hundred twenty-nine thousand, thirteen".