828007 has 2 divisors, whose sum is σ = 828008. Its totient is φ = 828006.

The previous prime is 827989. The next prime is 828011. The reversal of 828007 is 700828.

828007 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 828007 - 2¹¹ = 825959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414003 + 414004.

It is an arithmetic number, because the mean of its divisors is an integer number (414004).

2⁸²⁸⁰⁰⁷ is an apocalyptic number.

828007 is a deficient number, since it is larger than the sum of its proper divisors (1).

828007 is an equidigital number, since it uses as much as digits as its factorization.

828007 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 25.

The square root of 828007 is about 909.9488996642. The cubic root of 828007 is about 93.9026833496.

The spelling of 828007 in words is "eight hundred twenty-eight thousand, seven".