13257 has 8 divisors (see below), whose sum is σ = 19680. Its totient is φ = 8820.

The previous prime is 13249. The next prime is 13259. The reversal of 13257 is 75231.

It is not a de Polignac number, because 13257 - 2³ = 13249 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13257.

It is not an unprimeable number, because it can be changed into a prime (13259) 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, 219 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (2460).

2¹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

13257 is a deficient number, since it is larger than the sum of its proper divisors (6423).

13257 is an equidigital number, since it uses as much as digits as its factorization.

13257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 13257 is about 115.1390463744. The cubic root of 13257 is about 23.6672838121.

Adding to 13257 its reverse (75231), we get a palindrome (88488).

The spelling of 13257 in words is "thirteen thousand, two hundred fifty-seven".