828701 has 2 divisors, whose sum is σ = 828702. Its totient is φ = 828700.

The previous prime is 828697. The next prime is 828703. The reversal of 828701 is 107828.

828701 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., 811801 + 16900 = 901^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 828701 - 2² = 828697 is a prime.

Together with 828703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414350 + 414351.

It is an arithmetic number, because the mean of its divisors is an integer number (414351).

2⁸²⁸⁷⁰¹ is an apocalyptic number.

It is an amenable number.

828701 is a deficient number, since it is larger than the sum of its proper divisors (1).

828701 is an equidigital number, since it uses as much as digits as its factorization.

828701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 828701 is about 910.3301598871. The cubic root of 828701 is about 93.9289110923.

The spelling of 828701 in words is "eight hundred twenty-eight thousand, seven hundred one".