51797 has 2 divisors, whose sum is σ = 51798. Its totient is φ = 51796.

The previous prime is 51787. The next prime is 51803. The reversal of 51797 is 79715.

51797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 14161 = 194^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 51797 - 2¹⁰ = 50773 is a prime.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25898 + 25899.

It is an arithmetic number, because the mean of its divisors is an integer number (25899).

2⁵¹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

51797 is a deficient number, since it is larger than the sum of its proper divisors (1).

51797 is an equidigital number, since it uses as much as digits as its factorization.

51797 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2205, while the sum is 29.

The square root of 51797 is about 227.5895428178. The cubic root of 51797 is about 37.2764777291.

It can be divided in two parts, 51 and 797, that added together give a palindrome (848).

The spelling of 51797 in words is "fifty-one thousand, seven hundred ninety-seven".