48521 has 6 divisors (see below), whose sum is σ = 53466. Its totient is φ = 44000.

The previous prime is 48497. The next prime is 48523. The reversal of 48521 is 12584.

48521 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 121 = 220^2 + 11^2 .

It is not a de Polignac number, because 48521 - 2¹⁰ = 47497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48493 and 48502.

It is not an unprimeable number, because it can be changed into a prime (48523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (8911).

2⁴⁸⁵²¹ is an apocalyptic number.

It is an amenable number.

48521 is a deficient number, since it is larger than the sum of its proper divisors (4945).

48521 is a wasteful number, since it uses less digits than its factorization.

48521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 48521 is about 220.2748283395. The cubic root of 48521 is about 36.4734278359.

Adding to 48521 its product of digits (320), we get a square (48841 = 221²).

Subtracting from 48521 its reverse (12584), we obtain a cube (35937 = 33³).

The spelling of 48521 in words is "forty-eight thousand, five hundred twenty-one".