407226713 has 2 divisors, whose sum is σ = 407226714. Its totient is φ = 407226712.

The previous prime is 407226607. The next prime is 407226733. The reversal of 407226713 is 317622704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272481049 + 134745664 = 16507^2 + 11608^2 .

It is a cyclic number.

It is not a de Polignac number, because 407226713 - 2¹⁴ = 407210329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 407226713.

It is not a weakly prime, because it can be changed into another prime (407226733) 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, 203613356 + 203613357.

It is an arithmetic number, because the mean of its divisors is an integer number (203613357).

Almost surely, 2^407226713 is an apocalyptic number.

It is an amenable number.

407226713 is a deficient number, since it is larger than the sum of its proper divisors (1).

407226713 is an equidigital number, since it uses as much as digits as its factorization.

407226713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 407226713 is about 20179.8590926696. The cubic root of 407226713 is about 741.2170822590.

The spelling of 407226713 in words is "four hundred seven million, two hundred twenty-six thousand, seven hundred thirteen".