1271585 has 16 divisors (see below), whose sum is σ = 1783296. Its totient is φ = 852288.

The previous prime is 1271561. The next prime is 1271597. The reversal of 1271585 is 5851721.

It is a cyclic number.

It is not a de Polignac number, because 1271585 - 2⁶ = 1271521 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (111456).

2^1271585 is an apocalyptic number.

It is an amenable number.

1271585 is a deficient number, since it is larger than the sum of its proper divisors (511711).

1271585 is an equidigital number, since it uses as much as digits as its factorization.

1271585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its digits is 2800, while the sum is 29.

The square root of 1271585 is about 1127.6457777157. The cubic root of 1271585 is about 108.3382456681.

It can be divided in two parts, 127 and 1585, that multiplied together give a triangular number (201295 = T₆₃₄).

The spelling of 1271585 in words is "one million, two hundred seventy-one thousand, five hundred eighty-five".