13457 has 2 divisors, whose sum is σ = 13458. Its totient is φ = 13456.

The previous prime is 13451. The next prime is 13463. The reversal of 13457 is 75431.

Adding to 13457 its reverse (75431), we get a palindrome (88888).

It can be divided in two parts, 134 and 57, that added together give a palindrome (191).

It is a happy number.

It is a Cunningham number, because it is equal to 116^{2}+1.

It is a balanced prime because it is at equal distance from previous prime (13451) and next prime (13463).

It can be written as a sum of positive squares in only one way, i.e., 13456 + 1 = 116^2 + 1^2 .

It is an emirp because it is prime and its reverse (75431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13457 - 2^{4} = 13441 is a prime.

It is a Chen prime.

It is an Ulam number.

It is equal to p_{1595} and since 13457 and 1595 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (13451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6728 + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (6729).

2^{13457} is an apocalyptic number.

It is an amenable number.

13457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13457 is an equidigital number, since it uses as much as digits as its factorization.

13457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 13457 is about 116.0043102647. The cubic root of 13457 is about 23.7857080590.

The spelling of 13457 in words is "thirteen thousand, four hundred fifty-seven".

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