13557 has 4 divisors (see below), whose sum is σ = 18080. Its totient is φ = 9036.

The previous prime is 13553. The next prime is 13567. The reversal of 13557 is 75531.

It is a happy number.

13557 is nontrivially palindromic in base 7.

13557 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 13557 - 2² = 13553 is a prime.

It is a D-number.

It is a Duffinian number.

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 (13553) 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, 2257 + ... + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (4520).

2¹³⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

13557 is a deficient number, since it is larger than the sum of its proper divisors (4523).

13557 is an equidigital number, since it uses as much as digits as its factorization.

13557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522.

The product of its digits is 525, while the sum is 21.

The square root of 13557 is about 116.4345309605. The cubic root of 13557 is about 23.8444805251.

The spelling of 13557 in words is "thirteen thousand, five hundred fifty-seven".