828673 has 2 divisors, whose sum is σ = 828674. Its totient is φ = 828672.

The previous prime is 828649. The next prime is 828677. The reversal of 828673 is 376828.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 565504 + 263169 = 752^2 + 513^2 .

It is a cyclic number.

It is not a de Polignac number, because 828673 - 2¹³ = 820481 is a prime.

It is not a weakly prime, because it can be changed into another prime (828677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414336 + 414337.

It is an arithmetic number, because the mean of its divisors is an integer number (414337).

2⁸²⁸⁶⁷³ is an apocalyptic number.

It is an amenable number.

828673 is a deficient number, since it is larger than the sum of its proper divisors (1).

828673 is an equidigital number, since it uses as much as digits as its factorization.

828673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

The square root of 828673 is about 910.3147807215. The cubic root of 828673 is about 93.9278531960.

The spelling of 828673 in words is "eight hundred twenty-eight thousand, six hundred seventy-three".