413414137 has 2 divisors, whose sum is σ = 413414138. Its totient is φ = 413414136.

The previous prime is 413414117. The next prime is 413414149. The reversal of 413414137 is 731414314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272778256 + 140635881 = 16516^2 + 11859^2 .

It is a cyclic number.

It is not a de Polignac number, because 413414137 - 2⁷ = 413414009 is a prime.

It is a super-2 number, since 2×413414137² = 341822497342909538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413414117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206707068 + 206707069.

It is an arithmetic number, because the mean of its divisors is an integer number (206707069).

Almost surely, 2^413414137 is an apocalyptic number.

It is an amenable number.

413414137 is a deficient number, since it is larger than the sum of its proper divisors (1).

413414137 is an equidigital number, since it uses as much as digits as its factorization.

413414137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 28.

The square root of 413414137 is about 20332.5880546476. The cubic root of 413414137 is about 744.9522585505.

The spelling of 413414137 in words is "four hundred thirteen million, four hundred fourteen thousand, one hundred thirty-seven".