3307 has 2 divisors, whose sum is σ = 3308. Its totient is φ = 3306.

The previous prime is 3301. The next prime is 3313. The reversal of 3307 is 7033.

3307 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (3301) and next prime (3313).

It is a cyclic number.

It is not a de Polignac number, because 3307 - 2^{3} = 3299 is a prime.

It is a Chen prime.

It is the 58-th Hogben number.

3307 is a lucky number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3307.

It is not a weakly prime, because it can be changed into another prime (3301) by changing a digit.

It is a nontrivial repunit in base 57.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1653 + 1654.

It is an arithmetic number, because the mean of its divisors is an integer number (1654).

2^{3307} is an apocalyptic number.

3307 is a deficient number, since it is larger than the sum of its proper divisors (1).

3307 is an equidigital number, since it uses as much as digits as its factorization.

3307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 13.

The square root of 3307 is about 57.5065213693. The cubic root of 3307 is about 14.8985750030.

The spelling of 3307 in words is "three thousand, three hundred seven", and thus it is an iban number.

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