417714961 has 2 divisors, whose sum is σ = 417714962. Its totient is φ = 417714960.

The previous prime is 417714911. The next prime is 417714977. The reversal of 417714961 is 169417714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380991361 + 36723600 = 19519^2 + 6060^2 .

It is a cyclic number.

It is not a de Polignac number, because 417714961 - 2¹³ = 417706769 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417714911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208857480 + 208857481.

It is an arithmetic number, because the mean of its divisors is an integer number (208857481).

Almost surely, 2^417714961 is an apocalyptic number.

It is an amenable number.

417714961 is a deficient number, since it is larger than the sum of its proper divisors (1).

417714961 is an equidigital number, since it uses as much as digits as its factorization.

417714961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 40.

The square root of 417714961 is about 20438.0762548729. The cubic root of 417714961 is about 747.5266440170.

The spelling of 417714961 in words is "four hundred seventeen million, seven hundred fourteen thousand, nine hundred sixty-one".