457933 has 4 divisors (see below), whose sum is σ = 523360. Its totient is φ = 392508.

The previous prime is 457913. The next prime is 457943. The reversal of 457933 is 339754.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 457933 - 2⁹ = 457421 is a prime.

It is a d-powerful number, because it can be written as 4⁹ + 5⁷ + 9 + 7⁶ + 3 + 3 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 457895 and 457904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32703 + ... + 32716.

It is an arithmetic number, because the mean of its divisors is an integer number (130840).

2⁴⁵⁷⁹³³ is an apocalyptic number.

It is an amenable number.

457933 is a deficient number, since it is larger than the sum of its proper divisors (65427).

457933 is an equidigital number, since it uses as much as digits as its factorization.

457933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65426.

The product of its digits is 11340, while the sum is 31.

The square root of 457933 is about 676.7074700341. The cubic root of 457933 is about 77.0786288501.

It can be divided in two parts, 45793 and 3, that added together give a square (45796 = 214²).

The spelling of 457933 in words is "four hundred fifty-seven thousand, nine hundred thirty-three".