829993 has 2 divisors, whose sum is σ = 829994. Its totient is φ = 829992.

The previous prime is 829987. The next prime is 830003. The reversal of 829993 is 399928.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 719104 + 110889 = 848^2 + 333^2 .

It is a cyclic number.

It is not a de Polignac number, because 829993 - 2¹³ = 821801 is a prime.

It is not a weakly prime, because it can be changed into another prime (829093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414996 + 414997.

It is an arithmetic number, because the mean of its divisors is an integer number (414997).

2⁸²⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

829993 is a deficient number, since it is larger than the sum of its proper divisors (1).

829993 is an equidigital number, since it uses as much as digits as its factorization.

829993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 40.

The square root of 829993 is about 911.0395161572. The cubic root of 829993 is about 93.9776995537.

The spelling of 829993 in words is "eight hundred twenty-nine thousand, nine hundred ninety-three".