3297 has 8 divisors (see below), whose sum is σ = 5056. Its totient is φ = 1872.

The previous prime is 3271. The next prime is 3299. The reversal of 3297 is 7923.

3297 = 4² + 5² + ... + 21².

3297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3297 - 2⁷ = 3169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 157 = 3297 / (3 + 2 + 9 + 7).

It is a Duffinian number.

3297 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (632).

2³²⁹⁷ is an apocalyptic number.

It is an amenable number.

3297 is a deficient number, since it is larger than the sum of its proper divisors (1759).

3297 is a wasteful number, since it uses less digits than its factorization.

3297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167.

The product of its digits is 378, while the sum is 21.

The square root of 3297 is about 57.4195088798. The cubic root of 3297 is about 14.8835426297.

It can be divided in two parts, 3 and 297, that added together give a triangular number (300 = T₂₄).

The spelling of 3297 in words is "three thousand, two hundred ninety-seven".