133353 has 16 divisors (see below), whose sum is σ = 216000. Its totient is φ = 80640.

The previous prime is 133351. The next prime is 133379. The reversal of 133353 is 353331.

It is not a de Polignac number, because 133353 - 2¹ = 133351 is a prime.

133353 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (133351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2¹³³³⁵³ is an apocalyptic number.

It is an amenable number.

133353 is a deficient number, since it is larger than the sum of its proper divisors (82647).

133353 is a wasteful number, since it uses less digits than its factorization.

133353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

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

The square root of 133353 is about 365.1753003696. The cubic root of 133353 is about 51.0898071614.

Adding to 133353 its reverse (353331), we get a palindrome (486684).

The spelling of 133353 in words is "one hundred thirty-three thousand, three hundred fifty-three".