11671 has 4 divisors (see below), whose sum is σ = 12744. Its totient is φ = 10600.

The previous prime is 11657. The next prime is 11677. The reversal of 11671 is 17611.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17611 = 11 ⋅1601.

It is a cyclic number.

It is not a de Polignac number, because 11671 - 2⁹ = 11159 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (3186).

2¹¹⁶⁷¹ is an apocalyptic number.

11671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11671 is a deficient number, since it is larger than the sum of its proper divisors (1073).

11671 is a wasteful number, since it uses less digits than its factorization.

11671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072.

The product of its digits is 42, while the sum is 16.

The square root of 11671 is about 108.0324025466. The cubic root of 11671 is about 22.6831147436.

It can be divided in two parts, 11 and 671, that multiplied together give a triangular number (7381 = T₁₂₁).

The spelling of 11671 in words is "eleven thousand, six hundred seventy-one".