1307321 has 8 divisors (see below), whose sum is σ = 1361160. Its totient is φ = 1254528.

The previous prime is 1307311. The next prime is 1307347. The reversal of 1307321 is 1237031.

It can be written as a sum of positive squares in 4 ways, for example, as 346921 + 960400 = 589^2 + 980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1307321 - 2¹⁴ = 1290937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1307321.

It is not an unprimeable number, because it can be changed into a prime (1307311) 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 in 7 ways as a sum of consecutive naturals, for example, 3095 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (170145).

2^1307321 is an apocalyptic number.

It is an amenable number.

1307321 is a deficient number, since it is larger than the sum of its proper divisors (53839).

1307321 is an equidigital number, since it uses as much as digits as its factorization.

1307321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 1307321 is about 1143.3813886888. The cubic root of 1307321 is about 109.3437789528.

The spelling of 1307321 in words is "one million, three hundred seven thousand, three hundred twenty-one".