4657957 has 2 divisors, whose sum is σ = 4657958. Its totient is φ = 4657956.

The previous prime is 4657931. The next prime is 4657963. The reversal of 4657957 is 7597564.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4532641 + 125316 = 2129^2 + 354^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4657957 is a prime.

4657957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4657927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328978 + 2328979.

It is an arithmetic number, because the mean of its divisors is an integer number (2328979).

Almost surely, 2^4657957 is an apocalyptic number.

It is an amenable number.

4657957 is a deficient number, since it is larger than the sum of its proper divisors (1).

4657957 is an equidigital number, since it uses as much as digits as its factorization.

4657957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 264600, while the sum is 43.

The square root of 4657957 is about 2158.2300618794. The cubic root of 4657957 is about 167.0059041502.

The spelling of 4657957 in words is "four million, six hundred fifty-seven thousand, nine hundred fifty-seven".