1405309 has 2 divisors, whose sum is σ = 1405310. Its totient is φ = 1405308.

The previous prime is 1405289. The next prime is 1405319. The reversal of 1405309 is 9035041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1071225 + 334084 = 1035^2 + 578^2 .

It is a cyclic number.

It is not a de Polignac number, because 1405309 - 2⁷ = 1405181 is a prime.

1405309 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1405309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1405319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 702654 + 702655.

It is an arithmetic number, because the mean of its divisors is an integer number (702655).

2^1405309 is an apocalyptic number.

It is an amenable number.

1405309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1405309 is an equidigital number, since it uses as much as digits as its factorization.

1405309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1405309 is about 1185.4572957302. The cubic root of 1405309 is about 112.0101234472.

The spelling of 1405309 in words is "one million, four hundred five thousand, three hundred nine".