4657997 has 2 divisors, whose sum is σ = 4657998. Its totient is φ = 4657996.

The previous prime is 4657987. The next prime is 4657999. The reversal of 4657997 is 7997564.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3279721 + 1378276 = 1811^2 + 1174^2 .

It is a cyclic number.

It is not a de Polignac number, because 4657997 - 2⁴ = 4657981 is a prime.

Together with 4657999, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4657999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2328998 + 2328999.

It is an arithmetic number, because the mean of its divisors is an integer number (2328999).

Almost surely, 2^4657997 is an apocalyptic number.

It is an amenable number.

4657997 is a deficient number, since it is larger than the sum of its proper divisors (1).

4657997 is an equidigital number, since it uses as much as digits as its factorization.

4657997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 476280, while the sum is 47.

The square root of 4657997 is about 2158.2393287122. The cubic root of 4657997 is about 167.0063822008.

The spelling of 4657997 in words is "four million, six hundred fifty-seven thousand, nine hundred ninety-seven".