67966 has 8 divisors (see below), whose sum is σ = 108000. Its totient is φ = 31968.

The previous prime is 67961. The next prime is 67967. The reversal of 67966 is 66976.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (34), and also a Moran number because the ratio is a prime number: 1999 = 67966 / (6 + 7 + 9 + 6 + 6).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67961) by changing a digit.

67966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 966 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2⁶⁷⁹⁶⁶ is an apocalyptic number.

67966 is a deficient number, since it is larger than the sum of its proper divisors (40034).

67966 is a wasteful number, since it uses less digits than its factorization.

67966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018.

The product of its digits is 13608, while the sum is 34.

The square root of 67966 is about 260.7028960330. The cubic root of 67966 is about 40.8097471266.

Subtracting from 67966 its reverse (66976), we obtain a triangular number (990 = T₄₄).

The spelling of 67966 in words is "sixty-seven thousand, nine hundred sixty-six".