457001 has 2 divisors, whose sum is σ = 457002. Its totient is φ = 457000.

The previous prime is 456991. The next prime is 457003. The reversal of 457001 is 100754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 25 = 676^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 457001 - 2¹⁰ = 455977 is a prime.

It is a super-3 number, since 3×457001³ = 286333858645113003, which contains 333 as substring.

Together with 457003, 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 (457003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228500 + 228501.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

2⁴⁵⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

457001 is a deficient number, since it is larger than the sum of its proper divisors (1).

457001 is an equidigital number, since it uses as much as digits as its factorization.

457001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 457001 is about 676.0184908714. The cubic root of 457001 is about 77.0263023654.

Adding to 457001 its reverse (100754), we get a palindrome (557755).

The spelling of 457001 in words is "four hundred fifty-seven thousand, one".