1585228091 has 2 divisors, whose sum is σ = 1585228092. Its totient is φ = 1585228090.

The previous prime is 1585228033. The next prime is 1585228109. The reversal of 1585228091 is 1908225851.

Together with next prime (1585228109) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1585228091 - 2¹⁴ = 1585211707 is a prime.

It is not a weakly prime, because it can be changed into another prime (1585228391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 792614045 + 792614046.

It is an arithmetic number, because the mean of its divisors is an integer number (792614046).

Almost surely, 2^1585228091 is an apocalyptic number.

1585228091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1585228091 is an equidigital number, since it uses as much as digits as its factorization.

1585228091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 41.

The square root of 1585228091 is about 39814.9229686559. The cubic root of 1585228091 is about 1165.9965172349.

The spelling of 1585228091 in words is "one billion, five hundred eighty-five million, two hundred twenty-eight thousand, ninety-one".