829041249 has 8 divisors (see below), whose sum is σ = 1116784480. Its totient is φ = 546996096.

The previous prime is 829041221. The next prime is 829041251. The reversal of 829041249 is 942140928.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 829041249 - 2⁷ = 829041121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (829041209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424179 + ... + 1424760.

It is an arithmetic number, because the mean of its divisors is an integer number (139598060).

Almost surely, 2^829041249 is an apocalyptic number.

It is an amenable number.

829041249 is a deficient number, since it is larger than the sum of its proper divisors (287743231).

829041249 is a wasteful number, since it uses less digits than its factorization.

829041249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849039.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 829041249 is about 28793.0764073588. The cubic root of 829041249 is about 939.4176447976.

The spelling of 829041249 in words is "eight hundred twenty-nine million, forty-one thousand, two hundred forty-nine".