3337 has 4 divisors (see below), whose sum is σ = 3456. Its totient is φ = 3220.

The previous prime is 3331. The next prime is 3343. The reversal of 3337 is 7333.

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 an interprime number because it is at equal distance from previous prime (3331) and next prime (3343).

It is a cyclic number.

It is not a de Polignac number, because 3337 - 2³ = 3329 is a prime.

It is a super-2 number, since 2×3337² = 22271138, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 8 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3337.

It is not an unprimeable number, because it can be changed into a prime (3331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

It is an amenable number.

3337 is a deficient number, since it is larger than the sum of its proper divisors (119).

3337 is an equidigital number, since it uses as much as digits as its factorization.

3337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its digits is 189, while the sum is 16.

The square root of 3337 is about 57.7667724561. The cubic root of 3337 is about 14.9434910872.

Subtracting from 3337 its sum of digits (16), we obtain a triangular number (3321 = T₈₁).

It can be divided in two parts, 33 and 37, that multiplied together give a palindrome (1221).

The spelling of 3337 in words is "three thousand, three hundred thirty-seven".