51973 has 2 divisors, whose sum is σ = 51974. Its totient is φ = 51972.

The previous prime is 51971. The next prime is 51977. The reversal of 51973 is 37915.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 12769 = 198^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 51973 - 2¹ = 51971 is a prime.

Together with 51971, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51971) 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, 25986 + 25987.

It is an arithmetic number, because the mean of its divisors is an integer number (25987).

2⁵¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

51973 is a deficient number, since it is larger than the sum of its proper divisors (1).

51973 is an equidigital number, since it uses as much as digits as its factorization.

51973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 945, while the sum is 25.

The square root of 51973 is about 227.9758759167. The cubic root of 51973 is about 37.3186503343.

It can be divided in two parts, 51 and 973, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 51973 in words is "fifty-one thousand, nine hundred seventy-three".