165627 has 24 divisors (see below), whose sum is σ = 299520. Its totient is φ = 85680.

The previous prime is 165617. The next prime is 165653. The reversal of 165627 is 726561.

165627 is a `hidden beast` number, since 1 + 656 + 2 + 7 = 666.

It is not a de Polignac number, because 165627 - 2⁴ = 165611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165617) 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 23 ways as a sum of consecutive naturals, for example, 574 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2¹⁶⁵⁶²⁷ is an apocalyptic number.

165627 is a deficient number, since it is larger than the sum of its proper divisors (133893).

165627 is a wasteful number, since it uses less digits than its factorization.

165627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 165627 is about 406.9729720755. The cubic root of 165627 is about 54.9174519253.

Subtracting from 165627 its sum of digits (27), we obtain a triangular number (165600 = T₅₇₅).

The spelling of 165627 in words is "one hundred sixty-five thousand, six hundred twenty-seven".