66167 has 4 divisors (see below), whose sum is σ = 66816. Its totient is φ = 65520.

The previous prime is 66161. The next prime is 66169. The reversal of 66167 is 76166.

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, and also an emirpimes, since its reverse is a distinct semiprime: 76166 = 2 ⋅38083.

It is a cyclic number.

It is not a de Polignac number, because 66167 - 2⁶ = 66103 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 (66161) 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, 134 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (16704).

2⁶⁶¹⁶⁷ is an apocalyptic number.

66167 is a deficient number, since it is larger than the sum of its proper divisors (649).

66167 is a wasteful number, since it uses less digits than its factorization.

66167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648.

The product of its digits is 1512, while the sum is 26.

The square root of 66167 is about 257.2294695403. The cubic root of 66167 is about 40.4464567042.

Subtracting 66167 from its reverse (76166), we obtain a palindrome (9999).

The spelling of 66167 in words is "sixty-six thousand, one hundred sixty-seven".