14985 has 20 divisors (see below), whose sum is σ = 27588. Its totient is φ = 7776.

The previous prime is 14983. The next prime is 15013. The reversal of 14985 is 58941.

14985 is nontrivially palindromic in base 14.

14985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 5184 = 99^2 + 72^2 .

It is not a de Polignac number, because 14985 - 2¹ = 14983 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1440) is a multiple of the sum of its prime divisors (45).

It is not an unprimeable number, because it can be changed into a prime (14983) 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 19 ways as a sum of consecutive naturals, for example, 387 + ... + 423.

2¹⁴⁹⁸⁵ is an apocalyptic number.

14985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14985 is a deficient number, since it is larger than the sum of its proper divisors (12603).

14985 is an equidigital number, since it uses as much as digits as its factorization.

14985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 45 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 14985 is about 122.4132345786. The cubic root of 14985 is about 24.6538972946.

14985 divided by its sum of digits (27) gives a palindrome (555).

Subtracting 14985 from its reverse (58941), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 14 and 985, that added together give a palindrome (999).

The spelling of 14985 in words is "fourteen thousand, nine hundred eighty-five".