416201 has 2 divisors, whose sum is σ = 416202. Its totient is φ = 416200.

The previous prime is 416167. The next prime is 416219. The reversal of 416201 is 102614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366025 + 50176 = 605^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 416201 - 2¹⁸ = 154057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208100 + 208101.

It is an arithmetic number, because the mean of its divisors is an integer number (208101).

2⁴¹⁶²⁰¹ is an apocalyptic number.

It is an amenable number.

416201 is a deficient number, since it is larger than the sum of its proper divisors (1).

416201 is an equidigital number, since it uses as much as digits as its factorization.

416201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 416201 is about 645.1364196819. The cubic root of 416201 is about 74.6622441931.

Adding to 416201 its reverse (102614), we get a palindrome (518815).

The spelling of 416201 in words is "four hundred sixteen thousand, two hundred one".