4671 has 8 divisors (see below), whose sum is σ = 6960. Its totient is φ = 3096.

The previous prime is 4663. The next prime is 4673. The reversal of 4671 is 1764.

It is not a de Polignac number, because 4671 - 2³ = 4663 is a prime.

4671 is a lucky number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4671.

It is not an unprimeable number, because it can be changed into a prime (4673) 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, 60 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (870).

2⁴⁶⁷¹ is an apocalyptic number.

4671 is a deficient number, since it is larger than the sum of its proper divisors (2289).

4671 is a wasteful number, since it uses less digits than its factorization.

4671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 4671 is about 68.3447144994. The cubic root of 4671 is about 16.7161639666.

The spelling of 4671 in words is "four thousand, six hundred seventy-one".