457973 has 4 divisors (see below), whose sum is σ = 466668. Its totient is φ = 449280.

The previous prime is 457943. The next prime is 457979. The reversal of 457973 is 379754.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 379754 = 2 ⋅189877.

It can be written as a sum of positive squares in 2 ways, for example, as 142129 + 315844 = 377^2 + 562^2 .

It is a cyclic number.

It is not a de Polignac number, because 457973 - 2¹⁰ = 456949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4268 + ... + 4373.

It is an arithmetic number, because the mean of its divisors is an integer number (116667).

2⁴⁵⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

457973 is a deficient number, since it is larger than the sum of its proper divisors (8695).

457973 is an equidigital number, since it uses as much as digits as its factorization.

457973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694.

The product of its digits is 26460, while the sum is 35.

The square root of 457973 is about 676.7370242568. The cubic root of 457973 is about 77.0808730324.

The spelling of 457973 in words is "four hundred fifty-seven thousand, nine hundred seventy-three".