414002201 has 2 divisors, whose sum is σ = 414002202. Its totient is φ = 414002200.

The previous prime is 414002189. The next prime is 414002209. The reversal of 414002201 is 102200414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372528601 + 41473600 = 19301^2 + 6440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414002201 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 (414002209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207001100 + 207001101.

It is an arithmetic number, because the mean of its divisors is an integer number (207001101).

Almost surely, 2^414002201 is an apocalyptic number.

It is an amenable number.

414002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

414002201 is an equidigital number, since it uses as much as digits as its factorization.

414002201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 414002201 is about 20347.0440359282. The cubic root of 414002201 is about 745.3053121540.

Adding to 414002201 its reverse (102200414), we get a palindrome (516202615).

The spelling of 414002201 in words is "four hundred fourteen million, two thousand, two hundred one".