165084167 has 4 divisors (see below), whose sum is σ = 167173920. Its totient is φ = 162994416.

The previous prime is 165084151. The next prime is 165084169. The reversal of 165084167 is 761480561.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 761480561 = 5189 ⋅146749.

It is a cyclic number.

It is not a de Polignac number, because 165084167 - 2⁴ = 165084151 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165084167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165084169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1044758 + ... + 1044915.

It is an arithmetic number, because the mean of its divisors is an integer number (41793480).

Almost surely, 2^165084167 is an apocalyptic number.

165084167 is a deficient number, since it is larger than the sum of its proper divisors (2089753).

165084167 is an equidigital number, since it uses as much as digits as its factorization.

165084167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089752.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 165084167 is about 12848.5083570039. The cubic root of 165084167 is about 548.5738999384.

The spelling of 165084167 in words is "one hundred sixty-five million, eighty-four thousand, one hundred sixty-seven".