828710117 has 2 divisors, whose sum is σ = 828710118. Its totient is φ = 828710116.

The previous prime is 828710059. The next prime is 828710131. The reversal of 828710117 is 711017828.

828710117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 820593316 + 8116801 = 28646^2 + 2849^2 .

It is a cyclic number.

It is not a de Polignac number, because 828710117 - 2¹⁸ = 828447973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828710317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414355058 + 414355059.

It is an arithmetic number, because the mean of its divisors is an integer number (414355059).

Almost surely, 2^828710117 is an apocalyptic number.

It is an amenable number.

828710117 is a deficient number, since it is larger than the sum of its proper divisors (1).

828710117 is an equidigital number, since it uses as much as digits as its factorization.

828710117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6272, while the sum is 35.

The square root of 828710117 is about 28787.3256312565. The cubic root of 828710117 is about 939.2925554575.

The spelling of 828710117 in words is "eight hundred twenty-eight million, seven hundred ten thousand, one hundred seventeen".