47521 has 2 divisors, whose sum is σ = 47522. Its totient is φ = 47520.

The previous prime is 47513. The next prime is 47527. The reversal of 47521 is 12574.

47521 is nontrivially palindromic in base 6.

47521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46225 + 1296 = 215^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 47521 - 2³ = 47513 is a prime.

It is not a weakly prime, because it can be changed into another prime (47527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23760 + 23761.

It is an arithmetic number, because the mean of its divisors is an integer number (23761).

2⁴⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

47521 is a deficient number, since it is larger than the sum of its proper divisors (1).

47521 is an equidigital number, since it uses as much as digits as its factorization.

47521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 19.

The square root of 47521 is about 217.9931191575. The cubic root of 47521 is about 36.2211184935.

It can be divided in two parts, 4752 and 1, that added together give a triangular number (4753 = T₉₇).

The spelling of 47521 in words is "forty-seven thousand, five hundred twenty-one".