165972167 has 4 divisors (see below), whose sum is σ = 166148376. Its totient is φ = 165795960.

The previous prime is 165972161. The next prime is 165972197. The reversal of 165972167 is 761279561.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 761279561 = 7 ⋅108754223.

It is a cyclic number.

It is not a de Polignac number, because 165972167 - 2⁴ = 165972151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165972161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86684 + ... + 88577.

It is an arithmetic number, because the mean of its divisors is an integer number (41537094).

Almost surely, 2^165972167 is an apocalyptic number.

165972167 is a deficient number, since it is larger than the sum of its proper divisors (176209).

165972167 is an equidigital number, since it uses as much as digits as its factorization.

165972167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176208.

The product of its digits is 158760, while the sum is 44.

The square root of 165972167 is about 12883.0185515662. The cubic root of 165972167 is about 549.5557481478. Note that the first 3 decimals are identical.

The spelling of 165972167 in words is "one hundred sixty-five million, nine hundred seventy-two thousand, one hundred sixty-seven".