1666117167 has 32 divisors (see below), whose sum is σ = 2620429056. Its totient is φ = 928320000.

The previous prime is 1666117151. The next prime is 1666117177. The reversal of 1666117167 is 7617116661.

It is not a de Polignac number, because 1666117167 - 2⁴ = 1666117151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666117177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99943 + ... + 115415.

It is an arithmetic number, because the mean of its divisors is an integer number (81888408).

Almost surely, 2^1666117167 is an apocalyptic number.

1666117167 is a deficient number, since it is larger than the sum of its proper divisors (954311889).

1666117167 is a wasteful number, since it uses less digits than its factorization.

1666117167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15751.

The product of its digits is 63504, while the sum is 42.

The square root of 1666117167 is about 40818.0985225917. The cubic root of 1666117167 is about 1185.5007863950.

The spelling of 1666117167 in words is "one billion, six hundred sixty-six million, one hundred seventeen thousand, one hundred sixty-seven".