13273 has 4 divisors (see below), whose sum is σ = 14308. Its totient is φ = 12240.

The previous prime is 13267. The next prime is 13291. The reversal of 13273 is 37231.

13273 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37231 = 31 ⋅1201.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 8649 = 68^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 13273 - 2⁵ = 13241 is a prime.

It is a Duffinian number.

13273 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (13873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 498 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (3577).

2¹³²⁷³ is an apocalyptic number.

13273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13273 is a deficient number, since it is larger than the sum of its proper divisors (1035).

13273 is a wasteful number, since it uses less digits than its factorization.

13273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its digits is 126, while the sum is 16.

The square root of 13273 is about 115.2085066304. The cubic root of 13273 is about 23.6768014078.

The spelling of 13273 in words is "thirteen thousand, two hundred seventy-three".