48784 has 10 divisors (see below), whose sum is σ = 94550. Its totient is φ = 24384.

The previous prime is 48781. The next prime is 48787.

48784 is nontrivially palindromic in base 10.

48784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48781) and next prime (48787).

It can be written as a sum of positive squares in only one way, i.e., 32400 + 16384 = 180^2 + 128^2 .

It is not an unprimeable number, because it can be changed into a prime (48781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1509 + ... + 1540.

It is an arithmetic number, because the mean of its divisors is an integer number (9455).

2⁴⁸⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

48784 is a deficient number, since it is larger than the sum of its proper divisors (45766).

48784 is a wasteful number, since it uses less digits than its factorization.

48784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 48784 is about 220.8710030765. The cubic root of 48784 is about 36.5392085081.

Subtracting from 48784 its product of digits (7168), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 48784 in words is "forty-eight thousand, seven hundred eighty-four".