457013 has 2 divisors, whose sum is σ = 457014. Its totient is φ = 457012.

The previous prime is 457003. The next prime is 457021. The reversal of 457013 is 310754.

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., 438244 + 18769 = 662^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 457013 - 2⁶ = 456949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228506 + 228507.

It is an arithmetic number, because the mean of its divisors is an integer number (228507).

2⁴⁵⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

457013 is a deficient number, since it is larger than the sum of its proper divisors (1).

457013 is an equidigital number, since it uses as much as digits as its factorization.

457013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 457013 is about 676.0273663100. The cubic root of 457013 is about 77.0269765488.

Adding to 457013 its reverse (310754), we get a palindrome (767767).

The spelling of 457013 in words is "four hundred fifty-seven thousand, thirteen".