829730 has 32 divisors (see below), whose sum is σ = 1719360. Its totient is φ = 285120.

The previous prime is 829729. The next prime is 829733. The reversal of 829730 is 37928.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 829693 and 829702.

It is not an unprimeable number, because it can be changed into a prime (829733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (53730).

2⁸²⁹⁷³⁰ is an apocalyptic number.

829730 is an abundant number, since it is smaller than the sum of its proper divisors (889630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829730 is a wasteful number, since it uses less digits than its factorization.

829730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 829730 is about 910.8951641106. The cubic root of 829730 is about 93.9677722627.

The spelling of 829730 in words is "eight hundred twenty-nine thousand, seven hundred thirty".