11830871 has 12 divisors (see below), whose sum is σ = 13179096. Its totient is φ = 10557360.

The previous prime is 11830843. The next prime is 11830873. The reversal of 11830871 is 17803811.

11830871 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11830871 - 2¹⁰ = 11829847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12020 + ... + 12966.

It is an arithmetic number, because the mean of its divisors is an integer number (1098258).

Almost surely, 2^11830871 is an apocalyptic number.

11830871 is a deficient number, since it is larger than the sum of its proper divisors (1348225).

11830871 is an equidigital number, since it uses as much as digits as its factorization.

11830871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 29.

The square root of 11830871 is about 3439.6033201519. The cubic root of 11830871 is about 227.8621756031.

The spelling of 11830871 in words is "eleven million, eight hundred thirty thousand, eight hundred seventy-one".