3947 has 2 divisors, whose sum is σ = 3948. Its totient is φ = 3946.

The previous prime is 3943. The next prime is 3967. The reversal of 3947 is 7493.

It is a weak prime.

3947 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3947 - 2² = 3943 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁷ + 4⁵ + 9³ + 7 .

It is a plaindrome in base 12.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (3943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1973 + 1974.

It is an arithmetic number, because the mean of its divisors is an integer number (1974).

2³⁹⁴⁷ is an apocalyptic number.

3947 is a deficient number, since it is larger than the sum of its proper divisors (1).

3947 is an equidigital number, since it uses as much as digits as its factorization.

3947 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 23.

The square root of 3947 is about 62.8251541980. The cubic root of 3947 is about 15.8035883534.

The spelling of 3947 in words is "three thousand, nine hundred forty-seven".