51971 has 2 divisors, whose sum is σ = 51972. Its totient is φ = 51970.

The previous prime is 51949. The next prime is 51973. The reversal of 51971 is 17915.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51971 - 2⁶ = 51907 is a prime.

Together with 51973, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (51973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25985 + 25986.

It is an arithmetic number, because the mean of its divisors is an integer number (25986).

2⁵¹⁹⁷¹ is an apocalyptic number.

51971 is a deficient number, since it is larger than the sum of its proper divisors (1).

51971 is an equidigital number, since it uses as much as digits as its factorization.

51971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 23.

The square root of 51971 is about 227.9714894455. The cubic root of 51971 is about 37.3181716354.

The spelling of 51971 in words is "fifty-one thousand, nine hundred seventy-one".