4067 has 6 divisors (see below), whose sum is σ = 4788. Its totient is φ = 3444.

The previous prime is 4057. The next prime is 4073. The reversal of 4067 is 7604.

It is not a de Polignac number, because 4067 - 2⁴ = 4051 is a prime.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2⁴⁰⁶⁷ is an apocalyptic number.

4067 is a deficient number, since it is larger than the sum of its proper divisors (721).

4067 is an equidigital number, since it uses as much as digits as its factorization.

4067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 4067 is about 63.7730350540. The cubic root of 4067 is about 15.9621501156.

The spelling of 4067 in words is "four thousand, sixty-seven".