3667 has 4 divisors (see below), whose sum is σ = 3880. Its totient is φ = 3456.

The previous prime is 3659. The next prime is 3671. The reversal of 3667 is 7663.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7663 = 79 ⋅97.

It is a 7-Lehmer number, since φ(3667) divides (3667-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 3667 - 2³ = 3659 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7, base 10, base 14 and base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 115.

It is an arithmetic number, because the mean of its divisors is an integer number (970).

2³⁶⁶⁷ is an apocalyptic number.

3667 is a deficient number, since it is larger than the sum of its proper divisors (213).

3667 is a wasteful number, since it uses less digits than its factorization.

3667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its digits is 756, while the sum is 22.

The square root of 3667 is about 60.5557594288. Note that the first 3 decimals coincide. The cubic root of 3667 is about 15.4206839624.

It can be divided in two parts, 366 and 7, that added together give a palindrome (373).

The spelling of 3667 in words is "three thousand, six hundred sixty-seven".