457021 has 2 divisors, whose sum is σ = 457022. Its totient is φ = 457020.

The previous prime is 457013. The next prime is 457043. The reversal of 457021 is 120754.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308025 + 148996 = 555^2 + 386^2 .

It is a cyclic number.

It is not a de Polignac number, because 457021 - 2³ = 457013 is a prime.

It is equal to p₃₈₂₄₂ and since 457021 and 38242 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228510 + 228511.

It is an arithmetic number, because the mean of its divisors is an integer number (228511).

2⁴⁵⁷⁰²¹ is an apocalyptic number.

It is an amenable number.

457021 is a deficient number, since it is larger than the sum of its proper divisors (1).

457021 is an equidigital number, since it uses as much as digits as its factorization.

457021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 457021 is about 676.0332832043. The cubic root of 457021 is about 77.0274259979.

Adding to 457021 its reverse (120754), we get a palindrome (577775).

The spelling of 457021 in words is "four hundred fifty-seven thousand, twenty-one".