6167 has 4 divisors (see below), whose sum is σ = 7056. Its totient is φ = 5280.

The previous prime is 6163. The next prime is 6173. The reversal of 6167 is 7616.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 6167 - 2² = 6163 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6163) 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, 434 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2⁶¹⁶⁷ is an apocalyptic number.

6167 is a deficient number, since it is larger than the sum of its proper divisors (889).

6167 is an equidigital number, since it uses as much as digits as its factorization.

6167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its digits is 252, while the sum is 20.

The square root of 6167 is about 78.5302489491. The cubic root of 6167 is about 18.3382539593.

It can be divided in two parts, 61 and 67, that added together give a 7-th power (128 = 2⁷).

The spelling of 6167 in words is "six thousand, one hundred sixty-seven".