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67382257 is a prime number
BaseRepresentation
bin1000000010000…
…10101111110001
311200210101002011
410001002233301
5114222213012
610404122521
71445511505
oct401025761
9150711064
1067382257
1135043318
121a696441
1310c63177
148d40305
155db01a7
hex4042bf1

67382257 has 2 divisors, whose sum is σ = 67382258. Its totient is φ = 67382256.

The previous prime is 67382243. The next prime is 67382269. The reversal of 67382257 is 75228376.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59536656 + 7845601 = 7716^2 + 2801^2 .

It is a cyclic number.

It is not a de Polignac number, because 67382257 - 27 = 67382129 is a prime.

It is a super-3 number, since 3×673822573 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (67382207) 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, 33691128 + 33691129.

It is an arithmetic number, because the mean of its divisors is an integer number (33691129).

Almost surely, 267382257 is an apocalyptic number.

It is an amenable number.

67382257 is a deficient number, since it is larger than the sum of its proper divisors (1).

67382257 is an equidigital number, since it uses as much as digits as its factorization.

67382257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 141120, while the sum is 40.

The square root of 67382257 is about 8208.6696242448. The cubic root of 67382257 is about 406.9257612401.

The spelling of 67382257 in words is "sixty-seven million, three hundred eighty-two thousand, two hundred fifty-seven".