457638017 has 2 divisors, whose sum is σ = 457638018. Its totient is φ = 457638016.

The previous prime is 457637989. The next prime is 457638019. The reversal of 457638017 is 710836754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 442302961 + 15335056 = 21031^2 + 3916^2 .

It is a cyclic number.

It is not a de Polignac number, because 457638017 - 2⁶ = 457637953 is a prime.

Together with 457638019, 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 (457638019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228819008 + 228819009.

It is an arithmetic number, because the mean of its divisors is an integer number (228819009).

Almost surely, 2^457638017 is an apocalyptic number.

It is an amenable number.

457638017 is a deficient number, since it is larger than the sum of its proper divisors (1).

457638017 is an equidigital number, since it uses as much as digits as its factorization.

457638017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 457638017 is about 21392.4757099313. The cubic root of 457638017 is about 770.6207492266.

The spelling of 457638017 in words is "four hundred fifty-seven million, six hundred thirty-eight thousand, seventeen".