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67813121 is a prime number
BaseRepresentation
bin1000000101010…
…11111100000001
311201121021010002
410002223330001
5114330004441
610421245345
71452254615
oct402537401
9151537102
1067813121
1135308002
121a863855
131108430c
149013345
155e47b9b
hex40abf01

67813121 has 2 divisors, whose sum is σ = 67813122. Its totient is φ = 67813120.

The previous prime is 67813103. The next prime is 67813127. The reversal of 67813121 is 12131876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65044225 + 2768896 = 8065^2 + 1664^2 .

It is a cyclic number.

It is not a de Polignac number, because 67813121 - 214 = 67796737 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67813127) 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, 33906560 + 33906561.

It is an arithmetic number, because the mean of its divisors is an integer number (33906561).

Almost surely, 267813121 is an apocalyptic number.

It is an amenable number.

67813121 is a deficient number, since it is larger than the sum of its proper divisors (1).

67813121 is an equidigital number, since it uses as much as digits as its factorization.

67813121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 67813121 is about 8234.8722515896. The cubic root of 67813121 is about 407.7912575196.

Adding to 67813121 its reverse (12131876), we get a palindrome (79944997).

The spelling of 67813121 in words is "sixty-seven million, eight hundred thirteen thousand, one hundred twenty-one".