414322313 has 2 divisors, whose sum is σ = 414322314. Its totient is φ = 414322312.

The previous prime is 414322289. The next prime is 414322319. The reversal of 414322313 is 313223414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285204544 + 129117769 = 16888^2 + 11363^2 .

It is a cyclic number.

It is not a de Polignac number, because 414322313 - 2¹² = 414318217 is a prime.

It is not a weakly prime, because it can be changed into another prime (414322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207161156 + 207161157.

It is an arithmetic number, because the mean of its divisors is an integer number (207161157).

Almost surely, 2^414322313 is an apocalyptic number.

It is an amenable number.

414322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

414322313 is an equidigital number, since it uses as much as digits as its factorization.

414322313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 23.

The square root of 414322313 is about 20354.9088182679. The cubic root of 414322313 is about 745.4973559874.

Adding to 414322313 its reverse (313223414), we get a palindrome (727545727).

The spelling of 414322313 in words is "four hundred fourteen million, three hundred twenty-two thousand, three hundred thirteen".