413337697 has 2 divisors, whose sum is σ = 413337698. Its totient is φ = 413337696.

The previous prime is 413337679. The next prime is 413337703. The reversal of 413337697 is 796733314.

Together with previous prime (413337679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388247616 + 25090081 = 19704^2 + 5009^2 .

It is a cyclic number.

It is not a de Polignac number, because 413337697 - 2⁷ = 413337569 is a prime.

It is a super-2 number, since 2×413337697² = 341696103522527618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413337637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206668848 + 206668849.

It is an arithmetic number, because the mean of its divisors is an integer number (206668849).

Almost surely, 2^413337697 is an apocalyptic number.

It is an amenable number.

413337697 is a deficient number, since it is larger than the sum of its proper divisors (1).

413337697 is an equidigital number, since it uses as much as digits as its factorization.

413337697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 285768, while the sum is 43.

The square root of 413337697 is about 20330.7082267195. The cubic root of 413337697 is about 744.9063419941.

The spelling of 413337697 in words is "four hundred thirteen million, three hundred thirty-seven thousand, six hundred ninety-seven".