48584 has 8 divisors (see below), whose sum is σ = 91110. Its totient is φ = 24288.

The previous prime is 48571. The next prime is 48589.

48584 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 16900 = 178^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (48589) by changing a digit.

48584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3029 + ... + 3044.

2⁴⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

48584 is a deficient number, since it is larger than the sum of its proper divisors (42526).

48584 is a wasteful number, since it uses less digits than its factorization.

48584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6075 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 48584 is about 220.4177851263. The cubic root of 48584 is about 36.4892067918.

The spelling of 48584 in words is "forty-eight thousand, five hundred eighty-four".