13485 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 6720.

The previous prime is 13477. The next prime is 13487. The reversal of 13485 is 58431.

It is not a de Polignac number, because 13485 - 2³ = 13477 is a prime.

13485 is an undulating number in base 12.

13485 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 (13487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹³⁴⁸⁵ is an apocalyptic number.

13485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13485 is a deficient number, since it is larger than the sum of its proper divisors (9555).

13485 is a wasteful number, since it uses less digits than its factorization.

13485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68.

The product of its digits is 480, while the sum is 21.

The square root of 13485 is about 116.1249327233. The cubic root of 13485 is about 23.8021936165.

It can be divided in two parts, 1 and 3485, that added together give a triangular number (3486 = T₈₃).

The spelling of 13485 in words is "thirteen thousand, four hundred eighty-five".