5971 has 4 divisors (see below), whose sum is σ = 6832. Its totient is φ = 5112.

The previous prime is 5953. The next prime is 5981. The reversal of 5971 is 1795.

5971 = 29² + 30² + ... + 34².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1795 = 5 ⋅359.

It is a cyclic number.

It is not a de Polignac number, because 5971 - 2⁵ = 5939 is a prime.

5971 is a lucky number.

It is a plaindrome in base 12 and base 14.

It is not an unprimeable number, because it can be changed into a prime (5981) 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, 420 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (1708).

2⁵⁹⁷¹ is an apocalyptic number.

5971 is a deficient number, since it is larger than the sum of its proper divisors (861).

5971 is an equidigital number, since it uses as much as digits as its factorization.

5971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860.

The product of its digits is 315, while the sum is 22.

The square root of 5971 is about 77.2722459878. The cubic root of 5971 is about 18.1418828029.

The spelling of 5971 in words is "five thousand, nine hundred seventy-one".