13730 has 8 divisors (see below), whose sum is σ = 24732. Its totient is φ = 5488.

The previous prime is 13729. The next prime is 13751. The reversal of 13730 is 3731.

It is a happy number.

13730 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 12769 + 961 = 113^2 + 31^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 13.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 677 + ... + 696.

2¹³⁷³⁰ is an apocalyptic number.

13730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13730 is a deficient number, since it is larger than the sum of its proper divisors (11002).

13730 is a wasteful number, since it uses less digits than its factorization.

13730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 13730 is about 117.1750826755. The cubic root of 13730 is about 23.9454780857.

Subtracting from 13730 its reverse (3731), we obtain a palindrome (9999).

The spelling of 13730 in words is "thirteen thousand, seven hundred thirty".