1305137 has 2 divisors, whose sum is σ = 1305138. Its totient is φ = 1305136.

The previous prime is 1305121. The next prime is 1305149. The reversal of 1305137 is 7315031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1290496 + 14641 = 1136^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305137 - 2⁴ = 1305121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305637) 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, 652568 + 652569.

It is an arithmetic number, because the mean of its divisors is an integer number (652569).

2^1305137 is an apocalyptic number.

It is an amenable number.

1305137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305137 is an equidigital number, since it uses as much as digits as its factorization.

1305137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 1305137 is about 1142.4259275769. The cubic root of 1305137 is about 109.2828554000.

The spelling of 1305137 in words is "one million, three hundred five thousand, one hundred thirty-seven".