4971 has 4 divisors (see below), whose sum is σ = 6632. Its totient is φ = 3312.

The previous prime is 4969. The next prime is 4973. The reversal of 4971 is 1794.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (4969) and next prime (4973).

It is not a de Polignac number, because 4971 - 2¹ = 4969 is a prime.

It is an Ulam number.

It is a D-number.

It is the 71-st Hogben number.

It is a Duffinian number.

It is a plaindrome in base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4973) by changing a digit.

It is a nontrivial repunit in base 70.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 826 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (1658).

2⁴⁹⁷¹ is an apocalyptic number.

4971 is a deficient number, since it is larger than the sum of its proper divisors (1661).

4971 is a wasteful number, since it uses less digits than its factorization.

4971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660.

The product of its digits is 252, while the sum is 21.

The square root of 4971 is about 70.5053189483. The cubic root of 4971 is about 17.0666358099.

Subtracting from 4971 its sum of digits (21), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 49 and 71, that added together give a triangular number (120 = T₁₅).

The spelling of 4971 in words is "four thousand, nine hundred seventy-one".