457297 has 4 divisors (see below), whose sum is σ = 458676. Its totient is φ = 455920.

The previous prime is 457279. The next prime is 457307. The reversal of 457297 is 792754.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 792754 = 2 ⋅396377.

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 379456 = 279^2 + 616^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457297 is a prime.

It is a Duffinian number.

457297 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (457267) 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, 147 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (114669).

2⁴⁵⁷²⁹⁷ is an apocalyptic number.

It is an amenable number.

457297 is a deficient number, since it is larger than the sum of its proper divisors (1379).

457297 is an equidigital number, since it uses as much as digits as its factorization.

457297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378.

The product of its digits is 17640, while the sum is 34.

The square root of 457297 is about 676.2373843555. The cubic root of 457297 is about 77.0429287803.

The spelling of 457297 in words is "four hundred fifty-seven thousand, two hundred ninety-seven".