828029 has 2 divisors, whose sum is σ = 828030. Its totient is φ = 828028.

The previous prime is 828013. The next prime is 828043. The reversal of 828029 is 920828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 688900 + 139129 = 830^2 + 373^2 .

It is a cyclic number.

It is not a de Polignac number, because 828029 - 2⁴ = 828013 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 827992 and 828010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414014 + 414015.

It is an arithmetic number, because the mean of its divisors is an integer number (414015).

2⁸²⁸⁰²⁹ is an apocalyptic number.

It is an amenable number.

828029 is a deficient number, since it is larger than the sum of its proper divisors (1).

828029 is an equidigital number, since it uses as much as digits as its factorization.

828029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 828029 is about 909.9609881748. The cubic root of 828029 is about 93.9035150015.

It can be divided in two parts, 82 and 8029, that multiplied together give a triangular number (658378 = T₁₁₄₇).

The spelling of 828029 in words is "eight hundred twenty-eight thousand, twenty-nine".