48289 has 4 divisors (see below), whose sum is σ = 49456. Its totient is φ = 47124.

The previous prime is 48281. The next prime is 48299. The reversal of 48289 is 98284.

48289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 48289 - 2³ = 48281 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 8³ + 2¹³ + 8⁵ + 9⁴ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48289.

It is not an unprimeable number, because it can be changed into a prime (48281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 519 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (12364).

2⁴⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

48289 is a deficient number, since it is larger than the sum of its proper divisors (1167).

48289 is a wasteful number, since it uses less digits than its factorization.

48289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166.

The product of its digits is 4608, while the sum is 31.

The square root of 48289 is about 219.7475824668. The cubic root of 48289 is about 36.4152031650.

Subtracting from 48289 its product of digits (4608), we obtain a square (43681 = 209²).

The spelling of 48289 in words is "forty-eight thousand, two hundred eighty-nine".