166073967 has 12 divisors (see below), whose sum is σ = 243951240. Its totient is φ = 108839088.

The previous prime is 166073959. The next prime is 166073977. The reversal of 166073967 is 769370661.

166073967 is a `hidden beast` number, since 1 + 6 + 607 + 39 + 6 + 7 = 666.

It is not a de Polignac number, because 166073967 - 2³ = 166073959 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166073977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155848 + ... + 156909.

It is an arithmetic number, because the mean of its divisors is an integer number (20329270).

Almost surely, 2^166073967 is an apocalyptic number.

166073967 is a deficient number, since it is larger than the sum of its proper divisors (77877273).

166073967 is a wasteful number, since it uses less digits than its factorization.

166073967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312822 (or 312819 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 166073967 is about 12886.9688833333. The cubic root of 166073967 is about 549.6680829287.

The spelling of 166073967 in words is "one hundred sixty-six million, seventy-three thousand, nine hundred sixty-seven".