172001 has 2 divisors, whose sum is σ = 172002. Its totient is φ = 172000.

The previous prime is 171947. The next prime is 172009. The reversal of 172001 is 100271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 30625 = 376^2 + 175^2 .

It is an emirp because it is prime and its reverse (100271) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 172001 - 2⁶ = 171937 is a prime.

It is not a weakly prime, because it can be changed into another prime (172009) 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 as a sum of consecutive naturals, namely, 86000 + 86001.

It is an arithmetic number, because the mean of its divisors is an integer number (86001).

2¹⁷²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

172001 is a deficient number, since it is larger than the sum of its proper divisors (1).

172001 is an equidigital number, since it uses as much as digits as its factorization.

172001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 172001 is about 414.7300326719. The cubic root of 172001 is about 55.6130854421.

Adding to 172001 its reverse (100271), we get a palindrome (272272).

The spelling of 172001 in words is "one hundred seventy-two thousand, one", and thus it is an iban number.