13945 has 4 divisors (see below), whose sum is σ = 16740. Its totient is φ = 11152.

The previous prime is 13933. The next prime is 13963. The reversal of 13945 is 54931.

13945 = 83² + 84².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 54931 = 163 ⋅337.

It can be written as a sum of positive squares in 2 ways, for example, as 6889 + 7056 = 83^2 + 84^2 .

It is a cyclic number.

It is not a de Polignac number, because 13945 - 2⁵ = 13913 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1390 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2¹³⁹⁴⁵ is an apocalyptic number.

13945 is the 84-th centered square number.

It is an amenable number.

13945 is a deficient number, since it is larger than the sum of its proper divisors (2795).

13945 is an equidigital number, since it uses as much as digits as its factorization.

13945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794.

The product of its digits is 540, while the sum is 22.

The square root of 13945 is about 118.0889495253. The cubic root of 13945 is about 24.0698198341.

The spelling of 13945 in words is "thirteen thousand, nine hundred forty-five".