59248 has 30 divisors (see below), whose sum is σ = 137144. Its totient is φ = 24288.

The previous prime is 59243. The next prime is 59263. The reversal of 59248 is 84295.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 5³ + 9⁵ + 2 + 4³ + 8 .

Its product of digits (2880) is a multiple of the sum of its prime divisors (32).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59243) by changing a digit.

59248 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 5 ways as a sum of consecutive naturals, for example, 2565 + ... + 2587.

2⁵⁹²⁴⁸ 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 59248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68572).

59248 is an abundant number, since it is smaller than the sum of its proper divisors (77896).

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

59248 is a wasteful number, since it uses less digits than its factorization.

59248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 32 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 59248 is about 243.4091206179. The cubic root of 59248 is about 38.9844338492.

Multiplying 59248 by its sum of digits (28), we get a square (1658944 = 1288²).

59248 divided by its sum of digits (28) gives a square (2116 = 46²).

Adding to 59248 its product of digits (2880), we get a triangular number (62128 = T₃₅₂).

The spelling of 59248 in words is "fifty-nine thousand, two hundred forty-eight".