2971 has 2 divisors, whose sum is σ = 2972.
Its totient is φ = 2970.
The previous prime is 2969. The next prime is 2999. The reversal of 2971 is 1792.
It can be divided in two parts, 29 and 71, that added together give a square (100 = 102).
2971 = T43 + T44 +
2971 is nontrivially palindromic in base 16.
2971 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.
It is a weak prime.
It is a cyclic number.
It is not a de Polignac number, because 2971 - 21 = 2969 is a prime.
Together with 2969, it forms a pair of twin primes.
It is a Chen prime.
It is the 55-th Hogben number.
2971 is an undulating number in base 16.
2971 is a lucky number.
It is a plaindrome in base 13 and base 14.
It is a nialpdrome in base 15.
It is not a weakly prime, because it can be changed into another prime (2371) by changing a digit.
It is a nontrivial repunit in base 54.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1485 + 1486.
It is an arithmetic number, because the mean of its divisors is an integer number (1486).
22971 is an apocalyptic number.
2971 is the 45-th centered triangular number.
2971 is a deficient number, since it is larger than the sum of its proper divisors (1).
2971 is an equidigital number, since it uses as much as digits as its factorization.
2971 is an evil number, because the sum of its binary digits is even.
The product of its digits is 126, while the sum is 19.
The square root of 2971 is about 54.5068802996.
The cubic root of 2971 is about 14.3758726628.
The spelling of 2971 in words is "two thousand, nine hundred seventy-one".