16806829 has 16 divisors (see below), whose sum is σ = 19362672. Its totient is φ = 14450688.

The previous prime is 16806827. The next prime is 16806833. The reversal of 16806829 is 92860861.

It can be written as a sum of positive squares in 8 ways, for example, as 3337929 + 13468900 = 1827^2 + 3670^2 .

It is a cyclic number.

It is not a de Polignac number, because 16806829 - 2¹ = 16806827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16806791 and 16806800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16806821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24637 + ... + 25309.

It is an arithmetic number, because the mean of its divisors is an integer number (1210167).

Almost surely, 2^16806829 is an apocalyptic number.

It is an amenable number.

16806829 is a deficient number, since it is larger than the sum of its proper divisors (2555843).

16806829 is a wasteful number, since it uses less digits than its factorization.

16806829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 16806829 is about 4099.6132744443. The cubic root of 16806829 is about 256.1505309755.

The spelling of 16806829 in words is "sixteen million, eight hundred six thousand, eight hundred twenty-nine".