57679 has 2 divisors, whose sum is σ = 57680. Its totient is φ = 57678.

The previous prime is 57667. The next prime is 57689. The reversal of 57679 is 97675.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 57679 - 2¹¹ = 55631 is a prime.

57679 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28839 + 28840.

It is an arithmetic number, because the mean of its divisors is an integer number (28840).

2⁵⁷⁶⁷⁹ is an apocalyptic number.

57679 is a deficient number, since it is larger than the sum of its proper divisors (1).

57679 is an equidigital number, since it uses as much as digits as its factorization.

57679 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 34.

The square root of 57679 is about 240.1645269393. The cubic root of 57679 is about 38.6372232586.

It can be divided in two parts, 5767 and 9, that added together give a square (5776 = 76²).

The spelling of 57679 in words is "fifty-seven thousand, six hundred seventy-nine".