47648 has 12 divisors (see below), whose sum is σ = 93870. Its totient is φ = 23808.

The previous prime is 47639. The next prime is 47653. The reversal of 47648 is 84674.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 2704 = 212^2 + 52^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47648.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47648.

It is an unprimeable number.

47648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 713 + ... + 776.

2⁴⁷⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

47648 is a deficient number, since it is larger than the sum of its proper divisors (46222).

47648 is a wasteful number, since it uses less digits than its factorization.

47648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 47648 is about 218.2842183943. The cubic root of 47648 is about 36.2533568037.

The spelling of 47648 in words is "forty-seven thousand, six hundred forty-eight".