17253 has 12 divisors (see below), whose sum is σ = 26208. Its totient is φ = 11340.

The previous prime is 17239. The next prime is 17257. The reversal of 17253 is 35271.

It is not a de Polignac number, because 17253 - 2⁶ = 17189 is a prime.

17253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

17253 is a Friedman number, since it can be written as 3^5*(72-1), using all its digits and the basic arithmetic operations.

2¹⁷²⁵³ is an apocalyptic number.

It is an amenable number.

17253 is a deficient number, since it is larger than the sum of its proper divisors (8955).

17253 is an frugal number, since it uses more digits than its factorization.

17253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 17253 is about 131.3506756739. The cubic root of 17253 is about 25.8397440443.

Adding to 17253 its sum of digits (18), we get a palindrome (17271).

It can be divided in two parts, 1725 and 3, that added together give a cube (1728 = 12³).

The spelling of 17253 in words is "seventeen thousand, two hundred fifty-three".