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67 is a prime number

• 67 can be written using four 4's:

See also 113.
67 has 2 divisors, whose sum is σ = 68. Its totient is φ = 66.

The previous prime is 61. The next prime is 71. The reversal of 67 is 76.

67 is nontrivially palindromic in base 5 and base 6.

67 is an esthetic number in base 5, base 10 and base 16, because in such bases its adjacent digits differ by 1.

It is a strong prime.

67 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 67 - 23 = 59 is a prime.

It is a Chen prime.

It is a magnanimous number.

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

It is a pancake number, because a pancake can be divided into 67 parts by 11 straight cuts.

67 is an undulating number in base 5 and base 6.

67 is a lucky number.

It is a plaindrome in base 7, base 10, base 12, base 14 and base 15.

It is a nialpdrome in base 3, base 9, base 11, base 13 and base 16.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33 + 34.

It is an arithmetic number, because the mean of its divisors is an integer number (34).

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

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

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

The product of its digits is 42, while the sum is 13.

The square root of 67 is about 8.1853527719. The cubic root of 67 is about 4.0615481004.

Subtracting from 67 its product of digits (42), we obtain a square (25 = 52).

The spelling of 67 in words is "sixty-seven", and thus it is an aban number, an oban number, and an uban number.