458957 has 2 divisors, whose sum is σ = 458958. Its totient is φ = 458956.

The previous prime is 458947. The next prime is 458959. The reversal of 458957 is 759854.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 67081 = 626^2 + 259^2 .

It is a cyclic number.

It is not a de Polignac number, because 458957 - 2⁸ = 458701 is a prime.

Together with 458959, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 458957.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 458957.

It is not a weakly prime, because it can be changed into another prime (458959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229478 + 229479.

It is an arithmetic number, because the mean of its divisors is an integer number (229479).

2⁴⁵⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

458957 is a deficient number, since it is larger than the sum of its proper divisors (1).

458957 is an equidigital number, since it uses as much as digits as its factorization.

458957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 50400, while the sum is 38.

The square root of 458957 is about 677.4636521615. The cubic root of 458957 is about 77.1360388186.

The spelling of 458957 in words is "four hundred fifty-eight thousand, nine hundred fifty-seven".