829228005 has 24 divisors (see below), whose sum is σ = 1438222968. Its totient is φ = 441979776.

The previous prime is 829227941. The next prime is 829228009. The reversal of 829228005 is 500822928.

829228005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44275716 + 784952289 = 6654^2 + 28017^2 .

It is not a de Polignac number, because 829228005 - 2⁶ = 829227941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829228009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82219 + ... + 91751.

It is an arithmetic number, because the mean of its divisors is an integer number (59925957).

Almost surely, 2^829228005 is an apocalyptic number.

It is an amenable number.

829228005 is a deficient number, since it is larger than the sum of its proper divisors (608994963).

829228005 is a wasteful number, since it uses less digits than its factorization.

829228005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11477 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 829228005 is about 28796.3192960489. The cubic root of 829228005 is about 939.4881795709.

The spelling of 829228005 in words is "eight hundred twenty-nine million, two hundred twenty-eight thousand, five".