10671 has 4 divisors (see below), whose sum is σ = 14232. Its totient is φ = 7112.

The previous prime is 10667. The next prime is 10687. The reversal of 10671 is 17601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 17601 = 3 ⋅5867.

It is a cyclic number.

It is not a de Polignac number, because 10671 - 2² = 10667 is a prime.

It is a super-2 number, since 2×10671² = 227740482, which contains 22 as substring.

It is a tetranacci number.

It is a D-number.

10671 is a lucky number.

It is a plaindrome in base 9 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10601) 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, 1776 + ... + 1781.

It is an arithmetic number, because the mean of its divisors is an integer number (3558).

2¹⁰⁶⁷¹ is an apocalyptic number.

10671 is a deficient number, since it is larger than the sum of its proper divisors (3561).

10671 is an equidigital number, since it uses as much as digits as its factorization.

10671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10671 is about 103.3005324284. The cubic root of 10671 is about 22.0158288289.

The spelling of 10671 in words is "ten thousand, six hundred seventy-one".