457313 has 4 divisors (see below), whose sum is σ = 459540. Its totient is φ = 455088.

The previous prime is 457307. The next prime is 457319. The reversal of 457313 is 313754.

It is a happy number.

457313 is nontrivially palindromic in base 7.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (457307) and next prime (457319).

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 253009 = 452^2 + 503^2 .

It is a cyclic number.

It is not a de Polignac number, because 457313 - 2⁸ = 457057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457319) 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 in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 1227.

It is an arithmetic number, because the mean of its divisors is an integer number (114885).

2⁴⁵⁷³¹³ is an apocalyptic number.

It is an amenable number.

457313 is a deficient number, since it is larger than the sum of its proper divisors (2227).

457313 is a wasteful number, since it uses less digits than its factorization.

457313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226.

The product of its digits is 1260, while the sum is 23.

The square root of 457313 is about 676.2492144173. The cubic root of 457313 is about 77.0438273010.

The spelling of 457313 in words is "four hundred fifty-seven thousand, three hundred thirteen".