8006829 has 8 divisors (see below), whose sum is σ = 11140032. Its totient is φ = 5105760.

The previous prime is 8006827. The next prime is 8006857. The reversal of 8006829 is 9286008.

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

It is not a de Polignac number, because 8006829 - 2¹ = 8006827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8006829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006821) 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, 57952 + ... + 58089.

It is an arithmetic number, because the mean of its divisors is an integer number (1392504).

Almost surely, 2^8006829 is an apocalyptic number.

It is an amenable number.

8006829 is a deficient number, since it is larger than the sum of its proper divisors (3133203).

8006829 is a wasteful number, since it uses less digits than its factorization.

8006829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116067.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8006829 is about 2829.6340752825. The cubic root of 8006829 is about 200.0568921482.

The spelling of 8006829 in words is "eight million, six thousand, eight hundred twenty-nine".