16485 has 16 divisors (see below), whose sum is σ = 30336. Its totient is φ = 7488.

The previous prime is 16481. The next prime is 16487. The reversal of 16485 is 58461.

16485 = 36² + 37² + ... + 45².

16485 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16485 - 2² = 16481 is a prime.

It is an Ulam number.

16485 is strictly pandigital in base 6.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1896).

2¹⁶⁴⁸⁵ is an apocalyptic number.

16485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16485 is the 105-th pentagonal number.

It is an amenable number.

16485 is a deficient number, since it is larger than the sum of its proper divisors (13851).

16485 is a wasteful number, since it uses less digits than its factorization.

16485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 960, while the sum is 24.

The square root of 16485 is about 128.3939250899. The cubic root of 16485 is about 25.4504998982.

Subtracting from 16485 its sum of digits (24), we obtain a palindrome (16461).

It can be divided in two parts, 1648 and 5, that added together give a triangular number (1653 = T₅₇).

The spelling of 16485 in words is "sixteen thousand, four hundred eighty-five".