828409 has 2 divisors, whose sum is σ = 828410. Its totient is φ = 828408.

The previous prime is 828407. The next prime is 828431. The reversal of 828409 is 904828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 558009 + 270400 = 747^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 828409 - 2¹ = 828407 is a prime.

It is a super-2 number, since 2×828409² = 1372522942562, which contains 22 as substring.

Together with 828407, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 4⁹ + 8⁵ + 0 + 9⁶ .

It is not a weakly prime, because it can be changed into another prime (828407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414204 + 414205.

It is an arithmetic number, because the mean of its divisors is an integer number (414205).

2⁸²⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

828409 is a deficient number, since it is larger than the sum of its proper divisors (1).

828409 is an equidigital number, since it uses as much as digits as its factorization.

828409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 828409 is about 910.1697643846. The cubic root of 828409 is about 93.9178775735.

The spelling of 828409 in words is "eight hundred twenty-eight thousand, four hundred nine".