413201 has 2 divisors, whose sum is σ = 413202. Its totient is φ = 413200.

The previous prime is 413197. The next prime is 413207. The reversal of 413201 is 102314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 201601 = 460^2 + 449^2 .

It is a cyclic number.

It is not a de Polignac number, because 413201 - 2² = 413197 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (413207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206600 + 206601.

It is an arithmetic number, because the mean of its divisors is an integer number (206601).

2⁴¹³²⁰¹ is an apocalyptic number.

It is an amenable number.

413201 is a deficient number, since it is larger than the sum of its proper divisors (1).

413201 is an equidigital number, since it uses as much as digits as its factorization.

413201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 413201 is about 642.8071250383. The cubic root of 413201 is about 74.4824215692.

Adding to 413201 its reverse (102314), we get a palindrome (515515).

The spelling of 413201 in words is "four hundred thirteen thousand, two hundred one".