51341 has 2 divisors, whose sum is σ = 51342. Its totient is φ = 51340.

The previous prime is 51329. The next prime is 51343. The reversal of 51341 is 14315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 2500 = 221^2 + 50^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51341 is a prime.

Together with 51343, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51343) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25670 + 25671.

It is an arithmetic number, because the mean of its divisors is an integer number (25671).

2⁵¹³⁴¹ is an apocalyptic number.

It is an amenable number.

51341 is a deficient number, since it is larger than the sum of its proper divisors (1).

51341 is an equidigital number, since it uses as much as digits as its factorization.

51341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 14.

The square root of 51341 is about 226.5855246921. The cubic root of 51341 is about 37.1667660942.

Adding to 51341 its reverse (14315), we get a palindrome (65656).

It can be divided in two parts, 51 and 341, that multiplied together give a triangular number (17391 = T₁₈₆).

The spelling of 51341 in words is "fifty-one thousand, three hundred forty-one".