166306829 has 16 divisors (see below), whose sum is σ = 189302400. Its totient is φ = 144835776.

The previous prime is 166306817. The next prime is 166306831. The reversal of 166306829 is 928603661.

It is a cyclic number.

It is not a de Polignac number, because 166306829 - 2²⁰ = 165258253 is a prime.

It is a super-2 number, since 2×166306829² = 55315922744070482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166306879) 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 15 ways as a sum of consecutive naturals, for example, 65192 + ... + 67694.

It is an arithmetic number, because the mean of its divisors is an integer number (11831400).

Almost surely, 2^166306829 is an apocalyptic number.

166306829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

166306829 is a deficient number, since it is larger than the sum of its proper divisors (22995571).

166306829 is a wasteful number, since it uses less digits than its factorization.

166306829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804.

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 166306829 is about 12896.0005040322. Note that the first 3 decimals coincide. The cubic root of 166306829 is about 549.9248701785.

The spelling of 166306829 in words is "one hundred sixty-six million, three hundred six thousand, eight hundred twenty-nine".