457825 has 6 divisors (see below), whose sum is σ = 567734. Its totient is φ = 366240.

The previous prime is 457817. The next prime is 457829. The reversal of 457825 is 528754.

It can be written as a sum of positive squares in 3 ways, for example, as 6241 + 451584 = 79^2 + 672^2 .

It is not a de Polignac number, because 457825 - 2³ = 457817 is a prime.

It is a d-powerful number, because it can be written as 4⁵ + 5⁴ + 8 + 7 + 2¹⁶ + 5⁸ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457829) 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 5 ways as a sum of consecutive naturals, for example, 9132 + ... + 9181.

2⁴⁵⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

457825 is a deficient number, since it is larger than the sum of its proper divisors (109909).

457825 is a wasteful number, since it uses less digits than its factorization.

457825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18323 (or 18318 counting only the distinct ones).

The product of its digits is 11200, while the sum is 31.

The square root of 457825 is about 676.6276671848. The cubic root of 457825 is about 77.0725689051.

The spelling of 457825 in words is "four hundred fifty-seven thousand, eight hundred twenty-five".