133533 has 12 divisors (see below), whose sum is σ = 198588. Its totient is φ = 86400.

The previous prime is 133519. The next prime is 133541. The reversal of 133533 is 335331.

133533 is a `hidden beast` number, since 133 + 533 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 6084 = 357^2 + 78^2 .

133533 is an astonishing number since 133533 = 133 + ... + 533.

It is not a de Polignac number, because 133533 - 2⁸ = 133277 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

133533 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133543) 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, 133 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (16549).

2¹³³⁵³³ is an apocalyptic number.

It is an amenable number.

133533 is a deficient number, since it is larger than the sum of its proper divisors (65055).

133533 is a wasteful number, since it uses less digits than its factorization.

133533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its digits is 405, while the sum is 18.

The square root of 133533 is about 365.4216742340. The cubic root of 133533 is about 51.1127838492.

Adding to 133533 its reverse (335331), we get a palindrome (468864).

It can be divided in two parts, 133 and 533, that added together give a palindrome (666).

The spelling of 133533 in words is "one hundred thirty-three thousand, five hundred thirty-three".