1307 has 2 divisors, whose sum is σ = 1308. Its totient is φ = 1306.

The previous prime is 1303. The next prime is 1319. The reversal of 1307 is 7031.

1307 is nontrivially palindromic in base 13.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1307 - 2² = 1303 is a prime.

1307 is an undulating number in base 13.

It is not a weakly prime, because it can be changed into another prime (1301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653 + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (654).

1307 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307 is an equidigital number, since it uses as much as digits as its factorization.

1307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 1307 is about 36.1524549651. The cubic root of 1307 is about 10.9334828785.

Subtracting from 1307 its sum of digits (11), we obtain a 4-th power (1296 = 6⁴).

Adding to 1307 its reverse (7031), we get a palindrome (8338).

The spelling of 1307 in words is "one thousand, three hundred seven", and thus it is an iban number.