66967 has 4 divisors (see below), whose sum is σ = 67536. Its totient is φ = 66400.

The previous prime is 66959. The next prime is 66973. The reversal of 66967 is 76966.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 66967 - 2³ = 66959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

2⁶⁶⁹⁶⁷ is an apocalyptic number.

66967 is a deficient number, since it is larger than the sum of its proper divisors (569).

66967 is a wasteful number, since it uses less digits than its factorization.

66967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568.

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

The square root of 66967 is about 258.7798291985. The cubic root of 66967 is about 40.6088116961.

Subtracting 66967 from its reverse (76966), we obtain a palindrome (9999).

The spelling of 66967 in words is "sixty-six thousand, nine hundred sixty-seven".