165127 has 4 divisors (see below), whose sum is σ = 167896. Its totient is φ = 162360.

The previous prime is 165103. The next prime is 165133. The reversal of 165127 is 721561.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 165127 - 2⁷ = 164999 is a prime.

It is a super-2 number, since 2×165127² = 54533852258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165098 and 165107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1293 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (41974).

2¹⁶⁵¹²⁷ is an apocalyptic number.

165127 is a deficient number, since it is larger than the sum of its proper divisors (2769).

165127 is an equidigital number, since it uses as much as digits as its factorization.

165127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768.

The product of its digits is 420, while the sum is 22.

The square root of 165127 is about 406.3582163560. The cubic root of 165127 is about 54.8621340454.

Adding to 165127 its reverse (721561), we get a palindrome (886688).

It can be divided in two parts, 165 and 127, that added together give a palindrome (292).

The spelling of 165127 in words is "one hundred sixty-five thousand, one hundred twenty-seven".