3907 has 2 divisors, whose sum is σ = 3908. Its totient is φ = 3906.

The previous prime is 3889. The next prime is 3911. The reversal of 3907 is 7093.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3907 - 2⁷ = 3779 is a prime.

It is a Chen prime.

It is the 63-rd Hogben number.

It is a plaindrome in base 5 and base 15.

It is a nialpdrome in base 9 and base 16.

It is not a weakly prime, because it can be changed into another prime (3917) by changing a digit.

It is a nontrivial repunit in base 62.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1953 + 1954.

It is an arithmetic number, because the mean of its divisors is an integer number (1954).

2³⁹⁰⁷ is an apocalyptic number.

3907 is a deficient number, since it is larger than the sum of its proper divisors (1).

3907 is an equidigital number, since it uses as much as digits as its factorization.

3907 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 3907 is about 62.5059997120. The cubic root of 3907 is about 15.7500209960.

Adding to 3907 its product of nonzero digits (189), we get a 12-th power (4096 = 2¹²).

The spelling of 3907 in words is "three thousand, nine hundred seven".