47504 has 10 divisors (see below), whose sum is σ = 92070. Its totient is φ = 23744.

The previous prime is 47501. The next prime is 47507. The reversal of 47504 is 40574.

47504 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (47501) and next prime (47507).

It can be written as a sum of positive squares in only one way, i.e., 25600 + 21904 = 160^2 + 148^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47501) 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 as a sum of consecutive naturals, namely, 1469 + ... + 1500.

It is an arithmetic number, because the mean of its divisors is an integer number (9207).

2⁴⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

47504 is a deficient number, since it is larger than the sum of its proper divisors (44566).

47504 is a wasteful number, since it uses less digits than its factorization.

47504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 47504 is about 217.9541236132. The cubic root of 47504 is about 36.2167987720.

Adding to 47504 its sum of digits (20), we get a square (47524 = 218²).

The spelling of 47504 in words is "forty-seven thousand, five hundred four".