437340313 has 2 divisors, whose sum is σ = 437340314. Its totient is φ = 437340312.

The previous prime is 437340221. The next prime is 437340341. The reversal of 437340313 is 313043734.

437340313 = 14787² + 14788².

It is an a-pointer prime, because the next prime (437340341) can be obtained adding 437340313 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218684944 + 218655369 = 14788^2 + 14787^2 .

It is a cyclic number.

It is not a de Polignac number, because 437340313 - 2²¹ = 435243161 is a prime.

It is not a weakly prime, because it can be changed into another prime (437340353) 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, 218670156 + 218670157.

It is an arithmetic number, because the mean of its divisors is an integer number (218670157).

Almost surely, 2^437340313 is an apocalyptic number.

437340313 is the 14788-th centered square number.

It is an amenable number.

437340313 is a deficient number, since it is larger than the sum of its proper divisors (1).

437340313 is an equidigital number, since it uses as much as digits as its factorization.

437340313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 28.

The square root of 437340313 is about 20912.6830655466. The cubic root of 437340313 is about 759.0548691039.

The spelling of 437340313 in words is "four hundred thirty-seven million, three hundred forty thousand, three hundred thirteen".