365201 has 2 divisors, whose sum is σ = 365202. Its totient is φ = 365200.

The previous prime is 365179. The next prime is 365213. The reversal of 365201 is 102563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 6400 = 599^2 + 80^2 .

It is an emirp because it is prime and its reverse (102563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 365201 - 2⁶ = 365137 is a prime.

It is a Chen prime.

It is equal to p₃₁₁₅₇ and since 365201 and 31157 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 365201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365201.

It is not a weakly prime, because it can be changed into another prime (365231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182600 + 182601.

It is an arithmetic number, because the mean of its divisors is an integer number (182601).

2³⁶⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

365201 is a deficient number, since it is larger than the sum of its proper divisors (1).

365201 is an equidigital number, since it uses as much as digits as its factorization.

365201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 365201 is about 604.3186245682. The cubic root of 365201 is about 71.4788109413.

Adding to 365201 its reverse (102563), we get a palindrome (467764).

The spelling of 365201 in words is "three hundred sixty-five thousand, two hundred one".