67959 has 10 divisors (see below), whose sum is σ = 101640. Its totient is φ = 45252.

The previous prime is 67957. The next prime is 67961. The reversal of 67959 is 95976.

67959 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (67957) and next prime (67961).

It is not a de Polignac number, because 67959 - 2¹ = 67957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 339 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2⁶⁷⁹⁵⁹ is an apocalyptic number.

67959 is a deficient number, since it is larger than the sum of its proper divisors (33681).

67959 is an equidigital number, since it uses as much as digits as its factorization.

67959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 67959 is about 260.6894704433. The cubic root of 67959 is about 40.8083460435.

The spelling of 67959 in words is "sixty-seven thousand, nine hundred fifty-nine".