828011 has 2 divisors, whose sum is σ = 828012. Its totient is φ = 828010.

The previous prime is 828007. The next prime is 828013. The reversal of 828011 is 110828.

828011 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 is a cyclic number.

It is not a de Polignac number, because 828011 - 2² = 828007 is a prime.

It is a super-2 number, since 2×828011² = 1371204432242, which contains 22 as substring.

Together with 828013, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p₆₆₀₂₆ and since 828011 and 66026 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828011.

It is not a weakly prime, because it can be changed into another prime (828013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414005 + 414006.

It is an arithmetic number, because the mean of its divisors is an integer number (414006).

2⁸²⁸⁰¹¹ is an apocalyptic number.

828011 is a deficient number, since it is larger than the sum of its proper divisors (1).

828011 is an equidigital number, since it uses as much as digits as its factorization.

828011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 828011 is about 909.9510975871. The cubic root of 828011 is about 93.9028345602.

Adding to 828011 its reverse (110828), we get a palindrome (938839).

The spelling of 828011 in words is "eight hundred twenty-eight thousand, eleven".