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67638341 is a prime number
BaseRepresentation
bin1000000100000…
…01010001000101
311201021101100202
410002001101011
5114303411331
610413420245
71450626221
oct402012105
9151241322
1067638341
11351a8761
121a79a685
13110228b4
148da9781
155e10ecb
hex4081445

67638341 has 2 divisors, whose sum is σ = 67638342. Its totient is φ = 67638340.

The previous prime is 67638293. The next prime is 67638379. The reversal of 67638341 is 14383676.

It is an a-pointer prime, because the next prime (67638379) can be obtained adding 67638341 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44502241 + 23136100 = 6671^2 + 4810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67638341 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 67638295 and 67638304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67638541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33819170 + 33819171.

It is an arithmetic number, because the mean of its divisors is an integer number (33819171).

Almost surely, 267638341 is an apocalyptic number.

It is an amenable number.

67638341 is a deficient number, since it is larger than the sum of its proper divisors (1).

67638341 is an equidigital number, since it uses as much as digits as its factorization.

67638341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 38.

The square root of 67638341 is about 8224.2532183779. The cubic root of 67638341 is about 407.4406121190.

The spelling of 67638341 in words is "sixty-seven million, six hundred thirty-eight thousand, three hundred forty-one".