248584 has 32 divisors (see below), whose sum is σ = 558720. Its totient is φ = 101376.

The previous prime is 248579. The next prime is 248587. The reversal of 248584 is 485842.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248587) by changing a digit.

248584 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 in 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (17460).

248584 is a Friedman number, since it can be written as (8+4)^5-248, using all its digits and the basic arithmetic operations.

2²⁴⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279360).

248584 is an abundant number, since it is smaller than the sum of its proper divisors (310136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248584 is a wasteful number, since it uses less digits than its factorization.

248584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The square root of 248584 is about 498.5819892455. The cubic root of 248584 is about 62.8768906862.

The spelling of 248584 in words is "two hundred forty-eight thousand, five hundred eighty-four".