48821 has 2 divisors, whose sum is σ = 48822. Its totient is φ = 48820.

The previous prime is 48817. The next prime is 48823. The reversal of 48821 is 12884.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45796 + 3025 = 214^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 48821 - 2² = 48817 is a prime.

Together with 48823, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24410 + 24411.

It is an arithmetic number, because the mean of its divisors is an integer number (24411).

2⁴⁸⁸²¹ is an apocalyptic number.

It is an amenable number.

48821 is a deficient number, since it is larger than the sum of its proper divisors (1).

48821 is an equidigital number, since it uses as much as digits as its factorization.

48821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 512, while the sum is 23.

The square root of 48821 is about 220.9547464980. The cubic root of 48821 is about 36.5484438384.

Subtracting from 48821 its reverse (12884), we obtain a cube (35937 = 33³).

The spelling of 48821 in words is "forty-eight thousand, eight hundred twenty-one".