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67288313 is a prime number
BaseRepresentation
bin1000000001010…
…11110011111001
311200121121012202
410000223303321
5114211211223
610402115545
71444640561
oct400536371
9150547182
1067288313
1134a89784
121a64bbb5
1310c2c491
148d17da1
155d92428
hex402bcf9

67288313 has 2 divisors, whose sum is σ = 67288314. Its totient is φ = 67288312.

The previous prime is 67288279. The next prime is 67288327. The reversal of 67288313 is 31388276.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53173264 + 14115049 = 7292^2 + 3757^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67288313 is a prime.

It is not a weakly prime, because it can be changed into another prime (67288373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33644156 + 33644157.

It is an arithmetic number, because the mean of its divisors is an integer number (33644157).

Almost surely, 267288313 is an apocalyptic number.

It is an amenable number.

67288313 is a deficient number, since it is larger than the sum of its proper divisors (1).

67288313 is an equidigital number, since it uses as much as digits as its factorization.

67288313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 67288313 is about 8202.9453856526. The cubic root of 67288313 is about 406.7365620104.

The spelling of 67288313 in words is "sixty-seven million, two hundred eighty-eight thousand, three hundred thirteen".