3267 has 12 divisors (see below), whose sum is σ = 5320. Its totient is φ = 1980.

The previous prime is 3259. The next prime is 3271. The reversal of 3267 is 7623.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3267 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 3267 - 2³ = 3259 is a prime.

It is a Duffinian number.

Its product of digits (252) is a multiple of the sum of its prime divisors (14).

It is a plaindrome in base 7.

It is a nialpdrome in base 3, base 9 and base 16.

It is a zygodrome in base 2 and base 3.

It is not an unprimeable number, because it can be changed into a prime (3217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292 + ... + 302.

2³²⁶⁷ is an apocalyptic number.

3267 is a deficient number, since it is larger than the sum of its proper divisors (2053).

3267 is a wasteful number, since it uses less digits than its factorization.

3267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 14 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 3267 is about 57.1576766498. The cubic root of 3267 is about 14.8382623297.

Subtracting from 3267 its sum of digits (18), we obtain a square (3249 = 57²).

Subtracting 3267 from its reverse (7623), we obtain a square (4356 = 66²).

It can be divided in two parts, 326 and 7, that added together give a palindrome (333).

The spelling of 3267 in words is "three thousand, two hundred sixty-seven".