172127 has 2 divisors, whose sum is σ = 172128. Its totient is φ = 172126.

The previous prime is 172097. The next prime is 172147. The reversal of 172127 is 721271.

172127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (172147) can be obtained adding 172127 to its sum of digits (20).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 172127 - 2¹⁰ = 171103 is a prime.

It is a Chen prime.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 172099 and 172108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (172147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86063 + 86064.

It is an arithmetic number, because the mean of its divisors is an integer number (86064).

2¹⁷²¹²⁷ is an apocalyptic number.

172127 is a deficient number, since it is larger than the sum of its proper divisors (1).

172127 is an equidigital number, since it uses as much as digits as its factorization.

172127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 196, while the sum is 20.

The square root of 172127 is about 414.8819109096. The cubic root of 172127 is about 55.6266619880.

Adding to 172127 its reverse (721271), we get a palindrome (893398).

The spelling of 172127 in words is "one hundred seventy-two thousand, one hundred twenty-seven", and thus it is an iban number.