1305307 has 2 divisors, whose sum is σ = 1305308. Its totient is φ = 1305306.

The previous prime is 1305301. The next prime is 1305371. The reversal of 1305307 is 7035031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1305307 - 2¹⁵ = 1272539 is a prime.

It is a Chen prime.

It is the 1143-rd Hogben number.

It is not a weakly prime, because it can be changed into another prime (1305301) by changing a digit.

It is a nontrivial repunit in base 1142.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652653 + 652654.

It is an arithmetic number, because the mean of its divisors is an integer number (652654).

2^1305307 is an apocalyptic number.

1305307 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305307 is an equidigital number, since it uses as much as digits as its factorization.

1305307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 1305307 is about 1142.5003282275. The cubic root of 1305307 is about 109.2876000562.

The spelling of 1305307 in words is "one million, three hundred five thousand, three hundred seven".