13673 has 6 divisors (see below), whose sum is σ = 15162. Its totient is φ = 12320.

The previous prime is 13669. The next prime is 13679. The reversal of 13673 is 37631.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 5929 = 88^2 + 77^2 .

It is not a de Polignac number, because 13673 - 2² = 13669 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (2527).

2¹³⁶⁷³ is an apocalyptic number.

It is an amenable number.

13673 is a deficient number, since it is larger than the sum of its proper divisors (1489).

13673 is a wasteful number, since it uses less digits than its factorization.

13673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 13673 is about 116.9316039401. The cubic root of 13673 is about 23.9122956288.

It can be divided in two parts, 13 and 673, that added together give a palindrome (686).

The spelling of 13673 in words is "thirteen thousand, six hundred seventy-three".