4457 has 2 divisors, whose sum is σ = 4458. Its totient is φ = 4456.

The previous prime is 4451. The next prime is 4463. The reversal of 4457 is 7544.

4457 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (4451) and next prime (4463).

It can be written as a sum of positive squares in only one way, i.e., 4096 + 361 = 64^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 4457 - 2^{4} = 4441 is a prime.

It is a plaindrome in base 10 and base 16.

It is not a weakly prime, because it can be changed into another prime (4451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2228 + 2229.

It is an arithmetic number, because the mean of its divisors is an integer number (2229).

2^{4457} is an apocalyptic number.

It is an amenable number.

4457 is a deficient number, since it is larger than the sum of its proper divisors (1).

4457 is an equidigital number, since it uses as much as digits as its factorization.

4457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 560, while the sum is 20.

The square root of 4457 is about 66.7607669219. The cubic root of 4457 is about 16.4568816039.

It can be divided in two parts, 44 and 57, that added together give a palindrome (101).

The spelling of 4457 in words is "four thousand, four hundred fifty-seven".

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