13357 has 6 divisors (see below), whose sum is σ = 14478. Its totient is φ = 12312.

The previous prime is 13339. The next prime is 13367. The reversal of 13357 is 75331.

13357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 361 = 114^2 + 19^2 .

It is not a de Polignac number, because 13357 - 2⁷ = 13229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 343 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (2413).

2¹³³⁵⁷ is an apocalyptic number.

It is an amenable number.

13357 is a deficient number, since it is larger than the sum of its proper divisors (1121).

13357 is an equidigital number, since it uses as much as digits as its factorization.

13357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 56 counting only the distinct ones).

The product of its digits is 315, while the sum is 19.

The square root of 13357 is about 115.5724880757. The cubic root of 13357 is about 23.7266437051.

13357 divided by its sum of digits (19) gives a triangular number (703 = T₃₇).

Adding to 13357 its reverse (75331), we get a palindrome (88688).

It can be divided in two parts, 133 and 57, that added together give a triangular number (190 = T₁₉).

The spelling of 13357 in words is "thirteen thousand, three hundred fifty-seven".