11005271 has 8 divisors (see below), whose sum is σ = 11193984. Its totient is φ = 10818360.

The previous prime is 11005259. The next prime is 11005277. The reversal of 11005271 is 17250011.

11005271 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11005271 - 2⁶ = 11005207 is a prime.

It is a super-2 number, since 2×11005271² = 242231979566882, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17126 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (1399248).

Almost surely, 2^11005271 is an apocalyptic number.

11005271 is a deficient number, since it is larger than the sum of its proper divisors (188713).

11005271 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11005270) it forms an eRAP, since the sums of their prime factors are consecutive (900 and 901).

11005271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 11005271 is about 3317.4193283334. The cubic root of 11005271 is about 222.4335264119.

Adding to 11005271 its reverse (17250011), we get a palindrome (28255282).

The spelling of 11005271 in words is "eleven million, five thousand, two hundred seventy-one".