13740 has 24 divisors (see below), whose sum is σ = 38640. Its totient is φ = 3648.

The previous prime is 13729. The next prime is 13751. The reversal of 13740 is 4731.

It is an interprime number because it is at equal distance from previous prime (13729) and next prime (13751).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1610).

2¹³⁷⁴⁰ is an apocalyptic number.

13740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13740 is an abundant number, since it is smaller than the sum of its proper divisors (24900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320).

13740 is a wasteful number, since it uses less digits than its factorization.

13740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13740 is about 117.2177460967. The cubic root of 13740 is about 23.9512900952.

Adding to 13740 its product of nonzero digits (84), we get a cube (13824 = 24³).

Subtracting from 13740 its reverse (4731), we obtain a palindrome (9009).

It can be divided in two parts, 1 and 3740, that added together give a triangular number (3741 = T₈₆).

The spelling of 13740 in words is "thirteen thousand, seven hundred forty".