166812319 has 2 divisors, whose sum is σ = 166812320. Its totient is φ = 166812318.

The previous prime is 166812281. The next prime is 166812323. The reversal of 166812319 is 913218661.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 166812319 - 2²⁷ = 32594591 is a prime.

It is a super-3 number, since 3×166812319³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166812329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83406159 + 83406160.

It is an arithmetic number, because the mean of its divisors is an integer number (83406160).

Almost surely, 2^166812319 is an apocalyptic number.

166812319 is a deficient number, since it is larger than the sum of its proper divisors (1).

166812319 is an equidigital number, since it uses as much as digits as its factorization.

166812319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 37.

The square root of 166812319 is about 12915.5843460526. The cubic root of 166812319 is about 550.4814726085.

The spelling of 166812319 in words is "one hundred sixty-six million, eight hundred twelve thousand, three hundred nineteen".