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412846961 is a prime number
BaseRepresentation
bin11000100110111…
…000101101110001
31001202211210120012
4120212320231301
51321142100321
6104544424305
713142066312
oct3046705561
91052753505
10412846961
111a205003a
12b6318095
13676bbc57
143cb8a609
15263a005b
hex189b8b71

412846961 has 2 divisors, whose sum is σ = 412846962. Its totient is φ = 412846960.

The previous prime is 412846957. The next prime is 412846979. The reversal of 412846961 is 169648214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239661361 + 173185600 = 15481^2 + 13160^2 .

It is a cyclic number.

It is not a de Polignac number, because 412846961 - 22 = 412846957 is a prime.

It is a super-2 number, since 2×4128469612 = 340885226413871042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (412846361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206423480 + 206423481.

It is an arithmetic number, because the mean of its divisors is an integer number (206423481).

Almost surely, 2412846961 is an apocalyptic number.

It is an amenable number.

412846961 is a deficient number, since it is larger than the sum of its proper divisors (1).

412846961 is an equidigital number, since it uses as much as digits as its factorization.

412846961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The square root of 412846961 is about 20318.6358055850. The cubic root of 412846961 is about 744.6114280739.

The spelling of 412846961 in words is "four hundred twelve million, eight hundred forty-six thousand, nine hundred sixty-one".