13710 has 16 divisors (see below), whose sum is σ = 32976. Its totient is φ = 3648.

The previous prime is 13709. The next prime is 13711. The reversal of 13710 is 1731.

13710 is nontrivially palindromic in base 14.

13710 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13709) and next prime (13711).

13710 is strictly pandigital in base 6.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13710.

It is not an unprimeable number, because it can be changed into a prime (13711) 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, 199 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (2061).

2¹³⁷¹⁰ is an apocalyptic number.

13710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13710 is an abundant number, since it is smaller than the sum of its proper divisors (19266).

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 (16488).

13710 is a wasteful number, since it uses less digits than its factorization.

13710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13710 is about 117.0897091977. The cubic root of 13710 is about 23.9338455951.

Adding to 13710 its product of nonzero digits (21), we get a palindrome (13731).

Subtracting from 13710 its product of nonzero digits (21), we obtain a square (13689 = 117²).

The spelling of 13710 in words is "thirteen thousand, seven hundred ten".