2257 has 4 divisors (see below), whose sum is σ = 2356. Its totient is φ = 2160.

The previous prime is 2251. The next prime is 2267. The reversal of 2257 is 7522.

Adding to 2257 its reverse (7522), we get a palindrome (9779).

It can be divided in two parts, 225 and 7, that added together give a palindrome (232).

It is a happy number.

2257 is nontrivially palindromic in base 6.

2257 is an esthetic number in base 8, 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 brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 7522 = 2 ⋅3761.

It can be written as a sum of positive squares in 2 ways, for example, as 961 + 1296 = 31^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257 - 2^{7} = 2129 is a prime.

It is the 48-th Hogben number.

It is a Duffinian number.

2257 is a lucky number.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251) by changing a digit.

It is a nontrivial repunit in base 47.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 67.

It is an arithmetic number, because the mean of its divisors is an integer number (589).

It is an amenable number.

2257 is a deficient number, since it is larger than the sum of its proper divisors (99).

2257 is an equidigital number, since it uses as much as digits as its factorization.

2257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its digits is 140, while the sum is 16.

The square root of 2257 is about 47.5078940809. The cubic root of 2257 is about 13.1172819325.

The spelling of 2257 in words is "two thousand, two hundred fifty-seven".

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