164166819 has 32 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 103783680.

The previous prime is 164166803. The next prime is 164166833. The reversal of 164166819 is 918661461.

It is not a de Polignac number, because 164166819 - 2⁴ = 164166803 is a prime.

It is a super-2 number, since 2×164166819² = 53901488921157522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164166869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906909 + ... + 907089.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^164166819 is an apocalyptic number.

164166819 is a deficient number, since it is larger than the sum of its proper divisors (66463581).

164166819 is a wasteful number, since it uses less digits than its factorization.

164166819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its digits is 62208, while the sum is 42.

The square root of 164166819 is about 12812.7600071179. The cubic root of 164166819 is about 547.5558976310. Note that the first 3 decimals are identical.

The spelling of 164166819 in words is "one hundred sixty-four million, one hundred sixty-six thousand, eight hundred nineteen".