828407 has 2 divisors, whose sum is σ = 828408. Its totient is φ = 828406.

The previous prime is 828397. The next prime is 828409. The reversal of 828407 is 704828.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 828407 - 2¹⁶ = 762871 is a prime.

Together with 828409, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 828407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414203 + 414204.

It is an arithmetic number, because the mean of its divisors is an integer number (414204).

2⁸²⁸⁴⁰⁷ is an apocalyptic number.

828407 is a deficient number, since it is larger than the sum of its proper divisors (1).

828407 is an equidigital number, since it uses as much as digits as its factorization.

828407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 828407 is about 910.1686656878. The cubic root of 828407 is about 93.9178019926.

The spelling of 828407 in words is "eight hundred twenty-eight thousand, four hundred seven".