307 has 2 divisors, whose sum is σ = 308. Its totient is φ = 306.

The previous prime is 293. The next prime is 311. The reversal of 307 is 703.

It can be divided in two parts, 30 and 7, that multiplied together give a triangular number (210 = T_{20}).

307 is nontrivially palindromic in base 7.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 307 - 2^{7} = 179 is a prime.

It is a Chen prime.

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

It is the 18-th Hogben number.

307 is an undulating number in base 7.

307 is a lucky number.

It is a plaindrome in base 11, base 14, base 15 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 293 and 302.

It is not a weakly prime, because it can be changed into another prime (317) by changing a digit.

It is a nontrivial repunit in base 17.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153 + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (154).

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

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

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

The product of its (nonzero) digits is 21, while the sum is 10.

The square root of 307 is about 17.5214154679. The cubic root of 307 is about 6.7459967117.

The spelling of 307 in words is "three hundred seven", and thus it is an aban number, an iban number, and an oban number.

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