457533 has 12 divisors (see below), whose sum is σ = 684060. Its totient is φ = 294336.

The previous prime is 457517. The next prime is 457547. The reversal of 457533 is 335754.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 356409 = 318^2 + 597^2 .

It is not a de Polignac number, because 457533 - 2⁴ = 457517 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 5⁷ + 5⁷ + 7⁶ + 3¹⁰ + 3¹⁰ .

It is a Curzon number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 457497 and 457506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (57005).

2⁴⁵⁷⁵³³ is an apocalyptic number.

It is an amenable number.

457533 is a deficient number, since it is larger than the sum of its proper divisors (226527).

457533 is a wasteful number, since it uses less digits than its factorization.

457533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1785 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 457533 is about 676.4118567855. The cubic root of 457533 is about 77.0561798362.

It can be divided in two parts, 4575 and 33, that multiplied together give a triangular number (150975 = T₅₄₉).

The spelling of 457533 in words is "four hundred fifty-seven thousand, five hundred thirty-three".