17248 has 36 divisors (see below), whose sum is σ = 43092. Its totient is φ = 6720.

The previous prime is 17239. The next prime is 17257. The reversal of 17248 is 84271.

It is an interprime number because it is at equal distance from previous prime (17239) and next prime (17257).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 7³ + 2⁹ + 4⁷ + 8 .

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1563 + ... + 1573.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2¹⁷²⁴⁸ 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 17248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21546).

17248 is an abundant number, since it is smaller than the sum of its proper divisors (25844).

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

17248 is a wasteful number, since it uses less digits than its factorization.

17248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 20 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 17248 is about 131.3316412751. The cubic root of 17248 is about 25.8372476437.

Multiplying 17248 by its sum of digits (22), we get a square (379456 = 616²).

17248 divided by its sum of digits (22) gives a square (784 = 28²).

It can be divided in two parts, 172 and 48, that multiplied together give a triangular number (8256 = T₁₂₈).

The spelling of 17248 in words is "seventeen thousand, two hundred forty-eight".