133253 has 2 divisors, whose sum is σ = 133254. Its totient is φ = 133252.

The previous prime is 133241. The next prime is 133261. The reversal of 133253 is 352331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131044 + 2209 = 362^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 133253 - 2¹⁰ = 132229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66626 + 66627.

It is an arithmetic number, because the mean of its divisors is an integer number (66627).

2¹³³²⁵³ is an apocalyptic number.

It is an amenable number.

133253 is a deficient number, since it is larger than the sum of its proper divisors (1).

133253 is an equidigital number, since it uses as much as digits as its factorization.

133253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 17.

The square root of 133253 is about 365.0383541493. The cubic root of 133253 is about 51.0770333998.

Adding to 133253 its reverse (352331), we get a palindrome (485584).

The spelling of 133253 in words is "one hundred thirty-three thousand, two hundred fifty-three".