4947 has 8 divisors (see below), whose sum is σ = 7056. Its totient is φ = 3072.

The previous prime is 4943. The next prime is 4951. The reversal of 4947 is 7494.

It is an interprime number because it is at equal distance from previous prime (4943) and next prime (4951).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4947 - 2² = 4943 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4943) by changing a digit.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

2⁴⁹⁴⁷ is an apocalyptic number.

4947 is a deficient number, since it is larger than the sum of its proper divisors (2109).

4947 is a wasteful number, since it uses less digits than its factorization.

4947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

The product of its digits is 1008, while the sum is 24.

The square root of 4947 is about 70.3349130944. The cubic root of 4947 is about 17.0391255695.

The spelling of 4947 in words is "four thousand, nine hundred forty-seven".