17145 has 16 divisors (see below), whose sum is σ = 30720. Its totient is φ = 9072.

The previous prime is 17137. The next prime is 17159. The reversal of 17145 is 54171.

17145 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 17145 - 2³ = 17137 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

2¹⁷¹⁴⁵ is an apocalyptic number.

17145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17145 is a deficient number, since it is larger than the sum of its proper divisors (13575).

17145 is a wasteful number, since it uses less digits than its factorization.

17145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 17145 is about 130.9389170568. The cubic root of 17145 is about 25.7857141030.

It can be divided in two parts, 171 and 45, that added together give a cube (216 = 6³).

The spelling of 17145 in words is "seventeen thousand, one hundred forty-five".