17485 has 8 divisors (see below), whose sum is σ = 22680. Its totient is φ = 12864.

The previous prime is 17483. The next prime is 17489. The reversal of 17485 is 58471.

17485 = 93² + 94².

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 17161 = 18^2 + 131^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 17485 - 2¹ = 17483 is a prime.

17485 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2¹⁷⁴⁸⁵ is an apocalyptic number.

17485 is the 94-th centered square number.

It is an amenable number.

17485 is a deficient number, since it is larger than the sum of its proper divisors (5195).

17485 is a wasteful number, since it uses less digits than its factorization.

17485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its digits is 1120, while the sum is 25.

The square root of 17485 is about 132.2308587282. The cubic root of 17485 is about 25.9550505401.

The spelling of 17485 in words is "seventeen thousand, four hundred eighty-five".