51217 has 2 divisors, whose sum is σ = 51218. Its totient is φ = 51216.

The previous prime is 51203. The next prime is 51229. The reversal of 51217 is 71215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 10816 = 201^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 51217 - 2¹¹ = 49169 is a prime.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 51217.

It is not a weakly prime, because it can be changed into another prime (51257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25608 + 25609.

It is an arithmetic number, because the mean of its divisors is an integer number (25609).

2⁵¹²¹⁷ is an apocalyptic number.

It is an amenable number.

51217 is a deficient number, since it is larger than the sum of its proper divisors (1).

51217 is an equidigital number, since it uses as much as digits as its factorization.

51217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70, while the sum is 16.

The square root of 51217 is about 226.3117319098. The cubic root of 51217 is about 37.1368199542.

It can be divided in two parts, 512 and 17, that added together give a square (529 = 23²).

The spelling of 51217 in words is "fifty-one thousand, two hundred seventeen".