166506517 has 8 divisors (see below), whose sum is σ = 177863256. Its totient is φ = 155323392.

The previous prime is 166506493. The next prime is 166506533. The reversal of 166506517 is 715605661.

It can be written as a sum of positive squares in 4 ways, for example, as 12895281 + 153611236 = 3591^2 + 12394^2 .

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 166506517 - 2¹¹ = 166504469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166506577) 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, 41418 + ... + 45259.

It is an arithmetic number, because the mean of its divisors is an integer number (22232907).

Almost surely, 2^166506517 is an apocalyptic number.

166506517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

166506517 is a deficient number, since it is larger than the sum of its proper divisors (11356739).

166506517 is a wasteful number, since it uses less digits than its factorization.

166506517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86807.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 166506517 is about 12903.7404267135. The cubic root of 166506517 is about 550.1448841445.

The spelling of 166506517 in words is "one hundred sixty-six million, five hundred six thousand, five hundred seventeen".