829209089 has 8 divisors (see below), whose sum is σ = 832723200. Its totient is φ = 825703200.

The previous prime is 829209079. The next prime is 829209103. The reversal of 829209089 is 980902928.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 829209089 - 2²⁰ = 828160513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829209079) 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, 270437 + ... + 273485.

It is an arithmetic number, because the mean of its divisors is an integer number (104090400).

Almost surely, 2^829209089 is an apocalyptic number.

It is an amenable number.

829209089 is a deficient number, since it is larger than the sum of its proper divisors (3514111).

829209089 is a wasteful number, since it uses less digits than its factorization.

829209089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111.

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 829209089 is about 28795.9908494221. The cubic root of 829209089 is about 939.4810357803.

The spelling of 829209089 in words is "eight hundred twenty-nine million, two hundred nine thousand, eighty-nine".