1309385 has 32 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 768960.

The previous prime is 1309369. The next prime is 1309397. The reversal of 1309385 is 5839031.

1309385 = 340² + 341² + ... + 350².

It is not a de Polignac number, because 1309385 - 2⁴ = 1309369 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7226 + ... + 7404.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

2^1309385 is an apocalyptic number.

It is an amenable number.

1309385 is a deficient number, since it is larger than the sum of its proper divisors (764215).

1309385 is a wasteful number, since it uses less digits than its factorization.

1309385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1309385 is about 1144.2836186890. The cubic root of 1309385 is about 109.4012927266.

The spelling of 1309385 in words is "one million, three hundred nine thousand, three hundred eighty-five".