828013 has 2 divisors, whose sum is σ = 828014. Its totient is φ = 828012.

The previous prime is 828011. The next prime is 828029. The reversal of 828013 is 310828.

828013 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., 806404 + 21609 = 898^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 828013 - 2¹ = 828011 is a prime.

Together with 828011, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414006 + 414007.

It is an arithmetic number, because the mean of its divisors is an integer number (414007).

2⁸²⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

828013 is a deficient number, since it is larger than the sum of its proper divisors (1).

828013 is an equidigital number, since it uses as much as digits as its factorization.

828013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 828013 is about 909.9521965466. The cubic root of 828013 is about 93.9029101652.

The spelling of 828013 in words is "eight hundred twenty-eight thousand, thirteen".