829930 has 16 divisors (see below), whose sum is σ = 1506600. Its totient is φ = 329152.

The previous prime is 829883. The next prime is 829949. The reversal of 829930 is 39928.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 301401 + 528529 = 549^2 + 727^2 .

It is a junction number, because it is equal to n+sod(n) for n = 829892 and 829901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829930.

It is an unprimeable number.

829930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1212 + ... + 1768.

829930 is a Friedman number, since it can be written as 9+(903+8)^2, using all its digits and the basic arithmetic operations.

2⁸²⁹⁹³⁰ is an apocalyptic number.

829930 is a deficient number, since it is larger than the sum of its proper divisors (676670).

829930 is a wasteful number, since it uses less digits than its factorization.

829930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 829930 is about 911.0049396134. The cubic root of 829930 is about 93.9753217245.

The spelling of 829930 in words is "eight hundred twenty-nine thousand, nine hundred thirty".