51679 has 2 divisors, whose sum is σ = 51680. Its totient is φ = 51678.

The previous prime is 51673. The next prime is 51683. The reversal of 51679 is 97615.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 51679 - 2⁵ = 51647 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25839 + 25840.

It is an arithmetic number, because the mean of its divisors is an integer number (25840).

2⁵¹⁶⁷⁹ is an apocalyptic number.

51679 is a deficient number, since it is larger than the sum of its proper divisors (1).

51679 is an equidigital number, since it uses as much as digits as its factorization.

51679 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 28.

The square root of 51679 is about 227.3301563805. The cubic root of 51679 is about 37.2481493908.

It can be divided in two parts, 516 and 79, that added together give a palindrome (595).

The spelling of 51679 in words is "fifty-one thousand, six hundred seventy-nine".