165681167 has 16 divisors (see below), whose sum is σ = 183617280. Its totient is φ = 148697472.

The previous prime is 165681101. The next prime is 165681169. The reversal of 165681167 is 761186561.

It is a cyclic number.

It is not a de Polignac number, because 165681167 - 2¹⁶ = 165615631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165681169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251084 + ... + 251742.

It is an arithmetic number, because the mean of its divisors is an integer number (11476080).

Almost surely, 2^165681167 is an apocalyptic number.

165681167 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

165681167 is a deficient number, since it is larger than the sum of its proper divisors (17936113).

165681167 is a wasteful number, since it uses less digits than its factorization.

165681167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342.

The product of its digits is 60480, while the sum is 41.

The square root of 165681167 is about 12871.7196597813. The cubic root of 165681167 is about 549.2343804549.

The spelling of 165681167 in words is "one hundred sixty-five million, six hundred eighty-one thousand, one hundred sixty-seven".