13940 has 24 divisors (see below), whose sum is σ = 31752. Its totient is φ = 5120.

The previous prime is 13933. The next prime is 13963. The reversal of 13940 is 4931.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 13456 = 22^2 + 116^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

13940 is an undulating number in base 13.

It is a nialpdrome in base 7.

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, 320 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

2¹³⁹⁴⁰ is an apocalyptic number.

13940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876).

13940 is an abundant number, since it is smaller than the sum of its proper divisors (17812).

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

13940 is a wasteful number, since it uses less digits than its factorization.

13940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13940 is about 118.0677771452. The cubic root of 13940 is about 24.0669427340.

13940 divided by its sum of digits (17) gives a triangular number (820 = T₄₀).

Subtracting from 13940 its reverse (4931), we obtain a palindrome (9009).

The spelling of 13940 in words is "thirteen thousand, nine hundred forty".