172801 has 2 divisors, whose sum is σ = 172802. Its totient is φ = 172800.

The previous prime is 172787. The next prime is 172807. The reversal of 172801 is 108271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172225 + 576 = 415^2 + 24^2 .

It is an emirp because it is prime and its reverse (108271) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 172801 - 2⁷ = 172673 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (172807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86400 + 86401.

It is an arithmetic number, because the mean of its divisors is an integer number (86401).

2¹⁷²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

172801 is a deficient number, since it is larger than the sum of its proper divisors (1).

172801 is an equidigital number, since it uses as much as digits as its factorization.

172801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 172801 is about 415.6933966279. The cubic root of 172801 is about 55.6991734473.

The spelling of 172801 in words is "one hundred seventy-two thousand, eight hundred one".