13790 has 16 divisors (see below), whose sum is σ = 28512. Its totient is φ = 4704.

The previous prime is 13789. The next prime is 13799. The reversal of 13790 is 9731.

13790 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

13790 is an undulating number in base 14.

13790 is strictly pandigital in base 6.

It is a Curzon 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 (13799) 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, 29 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1782).

2¹³⁷⁹⁰ is an apocalyptic number.

13790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13790 is an abundant number, since it is smaller than the sum of its proper divisors (14722).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256).

13790 is a wasteful number, since it uses less digits than its factorization.

13790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 13790 is about 117.4308307047. The cubic root of 13790 is about 23.9803079211.

The spelling of 13790 in words is "thirteen thousand, seven hundred ninety".