457643 has 2 divisors, whose sum is σ = 457644. Its totient is φ = 457642.

The previous prime is 457621. The next prime is 457651. The reversal of 457643 is 346754.

457643 is nontrivially palindromic in base 14.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457643 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228821 + 228822.

It is an arithmetic number, because the mean of its divisors is an integer number (228822).

2⁴⁵⁷⁶⁴³ is an apocalyptic number.

457643 is a deficient number, since it is larger than the sum of its proper divisors (1).

457643 is an equidigital number, since it uses as much as digits as its factorization.

457643 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 29.

The square root of 457643 is about 676.4931633062. The cubic root of 457643 is about 77.0623546189.

Subtracting from 457643 its reverse (346754), we obtain a square (110889 = 333²).

The spelling of 457643 in words is "four hundred fifty-seven thousand, six hundred forty-three".