1321585905 has 8 divisors (see below), whose sum is σ = 2114537472. Its totient is φ = 704845808.

The previous prime is 1321585901. The next prime is 1321585913. The reversal of 1321585905 is 5095851231.

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 1321585905 - 2² = 1321585901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1321585901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44052849 + ... + 44052878.

It is an arithmetic number, because the mean of its divisors is an integer number (264317184).

Almost surely, 2^1321585905 is an apocalyptic number.

1321585905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1321585905 is a deficient number, since it is larger than the sum of its proper divisors (792951567).

1321585905 is an equidigital number, since it uses as much as digits as its factorization.

1321585905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88105735.

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 1321585905 is about 36353.6229968899. The cubic root of 1321585905 is about 1097.4004468967.

The spelling of 1321585905 in words is "one billion, three hundred twenty-one million, five hundred eighty-five thousand, nine hundred five".