413287361 has 2 divisors, whose sum is σ = 413287362. Its totient is φ = 413287360.

The previous prime is 413287351. The next prime is 413287363. The reversal of 413287361 is 163782314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361000000 + 52287361 = 19000^2 + 7231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413287361 is a prime.

Together with 413287363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413287363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206643680 + 206643681.

It is an arithmetic number, because the mean of its divisors is an integer number (206643681).

Almost surely, 2^413287361 is an apocalyptic number.

It is an amenable number.

413287361 is a deficient number, since it is larger than the sum of its proper divisors (1).

413287361 is an equidigital number, since it uses as much as digits as its factorization.

413287361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 413287361 is about 20329.4702587155. The cubic root of 413287361 is about 744.8761026941.

The spelling of 413287361 in words is "four hundred thirteen million, two hundred eighty-seven thousand, three hundred sixty-one".