417600961 has 2 divisors, whose sum is σ = 417600962. Its totient is φ = 417600960.

The previous prime is 417600941. The next prime is 417600983. The reversal of 417600961 is 169006714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306425025 + 111175936 = 17505^2 + 10544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417600961 is a prime.

It is not a weakly prime, because it can be changed into another prime (417600941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208800480 + 208800481.

It is an arithmetic number, because the mean of its divisors is an integer number (208800481).

Almost surely, 2^417600961 is an apocalyptic number.

It is an amenable number.

417600961 is a deficient number, since it is larger than the sum of its proper divisors (1).

417600961 is an equidigital number, since it uses as much as digits as its factorization.

417600961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 417600961 is about 20435.2871523744. The cubic root of 417600961 is about 747.4586344898.

The spelling of 417600961 in words is "four hundred seventeen million, six hundred thousand, nine hundred sixty-one".