7457 has 2 divisors, whose sum is σ = 7458. Its totient is φ = 7456.

The previous prime is 7451. The next prime is 7459. The reversal of 7457 is 7547.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 1681 = 76^2 + 41^2 .

It is an emirp because it is prime and its reverse (7547) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7457 - 2^{6} = 7393 is a prime.

Together with 7459, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (7451) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3728 + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (3729).

2^{7457} is an apocalyptic number.

It is an amenable number.

7457 is a deficient number, since it is larger than the sum of its proper divisors (1).

7457 is an equidigital number, since it uses as much as digits as its factorization.

7457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 980, while the sum is 23.

The square root of 7457 is about 86.3539228987. The cubic root of 7457 is about 19.5368577498.

It can be divided in two parts, 74 and 57, that added together give a palindrome (131).

The spelling of 7457 in words is "seven thousand, four hundred fifty-seven".

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