67759 has 2 divisors, whose sum is σ = 67760. Its totient is φ = 67758.

The previous prime is 67757. The next prime is 67763. The reversal of 67759 is 95776.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 67759 - 2¹ = 67757 is a prime.

It is a super-3 number, since 3×67759³ = 933302047579437, which contains 333 as substring.

Together with 67757, it forms a pair of twin primes.

67759 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33879 + 33880.

It is an arithmetic number, because the mean of its divisors is an integer number (33880).

2⁶⁷⁷⁵⁹ is an apocalyptic number.

67759 is a deficient number, since it is larger than the sum of its proper divisors (1).

67759 is an equidigital number, since it uses as much as digits as its factorization.

67759 is an evil number, because the sum of its binary digits is even.

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

The square root of 67759 is about 260.3055896442. The cubic root of 67759 is about 40.7682743886.

The spelling of 67759 in words is "sixty-seven thousand, seven hundred fifty-nine".