68967 has 12 divisors (see below), whose sum is σ = 101920. Its totient is φ = 44928.

The previous prime is 68963. The next prime is 68993. The reversal of 68967 is 76986.

It is not a de Polignac number, because 68967 - 2² = 68963 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663 + ... + 759.

2⁶⁸⁹⁶⁷ is an apocalyptic number.

68967 is a deficient number, since it is larger than the sum of its proper divisors (32953).

68967 is a wasteful number, since it uses less digits than its factorization.

68967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 68967 is about 262.6156887926. The cubic root of 68967 is about 41.0091195260.

It can be divided in two parts, 6896 and 7, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 68967 in words is "sixty-eight thousand, nine hundred sixty-seven".