133633 has 2 divisors, whose sum is σ = 133634. Its totient is φ = 133632.

The previous prime is 133631. The next prime is 133649. The reversal of 133633 is 336331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 23409 = 332^2 + 153^2 .

It is a cyclic number.

It is not a de Polignac number, because 133633 - 2¹ = 133631 is a prime.

Together with 133631, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 133633.

It is not a weakly prime, because it can be changed into another prime (133631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66816 + 66817.

It is an arithmetic number, because the mean of its divisors is an integer number (66817).

It is a Proth number, since it is equal to 261 ⋅ 2⁹ + 1 and 261 < 2⁹.

2¹³³⁶³³ is an apocalyptic number.

It is an amenable number.

133633 is a deficient number, since it is larger than the sum of its proper divisors (1).

133633 is an equidigital number, since it uses as much as digits as its factorization.

133633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 19.

The square root of 133633 is about 365.5584768543. The cubic root of 133633 is about 51.1255397547.

Adding to 133633 its reverse (336331), we get a palindrome (469964).

It can be divided in two parts, 13363 and 3, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 133633 in words is "one hundred thirty-three thousand, six hundred thirty-three".