458947 has 2 divisors, whose sum is σ = 458948. Its totient is φ = 458946.

The previous prime is 458929. The next prime is 458957. The reversal of 458947 is 749854.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 458947 - 2⁷ = 458819 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (458917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229473 + 229474.

It is an arithmetic number, because the mean of its divisors is an integer number (229474).

2⁴⁵⁸⁹⁴⁷ is an apocalyptic number.

458947 is a deficient number, since it is larger than the sum of its proper divisors (1).

458947 is an equidigital number, since it uses as much as digits as its factorization.

458947 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 458947 is about 677.4562716515. The cubic root of 458947 is about 77.1354785875.

The spelling of 458947 in words is "four hundred fifty-eight thousand, nine hundred forty-seven".