3397 has 4 divisors (see below), whose sum is σ = 3520. Its totient is φ = 3276.

The previous prime is 3391. The next prime is 3407. The reversal of 3397 is 7933.

Subtracting from 3397 its sum of digits (22), we obtain a cube (3375 = 15^{3}).

It can be divided in two parts, 3 and 397, that added together give a square (400 = 20^{2}).

3397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 3397 - 2^{3} = 3389 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391) 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, 4 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (880).

It is an amenable number.

3397 is a deficient number, since it is larger than the sum of its proper divisors (123).

3397 is an equidigital number, since it uses as much as digits as its factorization.

3397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its digits is 567, while the sum is 22.

The square root of 3397 is about 58.2837884836. The cubic root of 3397 is about 15.0325220295.

The spelling of 3397 in words is "three thousand, three hundred ninety-seven".

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