7540457 has 2 divisors, whose sum is σ = 7540458. Its totient is φ = 7540456.

The previous prime is 7540453. The next prime is 7540459.

7540457 is nontrivially palindromic in base 10.

7540457 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7027801 + 512656 = 2651^2 + 716^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 7540457 - 2² = 7540453 is a prime.

Together with 7540459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7540451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3770228 + 3770229.

It is an arithmetic number, because the mean of its divisors is an integer number (3770229).

Almost surely, 2^7540457 is an apocalyptic number.

It is an amenable number.

7540457 is a deficient number, since it is larger than the sum of its proper divisors (1).

7540457 is an equidigital number, since it uses as much as digits as its factorization.

7540457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 7540457 is about 2745.9892570802. The cubic root of 7540457 is about 196.0947150860.

It can be divided in two parts, 7540 and 457, that added together give a palindrome (7997).

The spelling of 7540457 in words is "seven million, five hundred forty thousand, four hundred fifty-seven".