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4097617 is a prime number
BaseRepresentation
bin1111101000011001010001
321201011212121
433220121101
52022110432
6223454241
746554256
oct17503121
97634777
104097617
112349667
121457381
13b06134
1478942d
1555e197
hex3e8651

4097617 has 2 divisors, whose sum is σ = 4097618. Its totient is φ = 4097616.

The previous prime is 4097603. The next prime is 4097633. The reversal of 4097617 is 7167904.

4097617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3129361 + 968256 = 1769^2 + 984^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097617 - 215 = 4064849 is a prime.

It is not a weakly prime, because it can be changed into another prime (4097647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2048808 + 2048809.

It is an arithmetic number, because the mean of its divisors is an integer number (2048809).

Almost surely, 24097617 is an apocalyptic number.

It is an amenable number.

4097617 is a deficient number, since it is larger than the sum of its proper divisors (1).

4097617 is an equidigital number, since it uses as much as digits as its factorization.

4097617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 4097617 is about 2024.2571476964. The cubic root of 4097617 is about 160.0210519175.

The spelling of 4097617 in words is "four million, ninety-seven thousand, six hundred seventeen".