133261 has 2 divisors, whose sum is σ = 133262. Its totient is φ = 133260.

The previous prime is 133253. The next prime is 133271. The reversal of 133261 is 162331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133225 + 36 = 365^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 133261 - 2³ = 133253 is a prime.

133261 is a lucky number.

It is equal to p₁₂₄₃₆ and since 133261 and 12436 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66630 + 66631.

It is an arithmetic number, because the mean of its divisors is an integer number (66631).

2¹³³²⁶¹ is an apocalyptic number.

It is an amenable number.

133261 is a deficient number, since it is larger than the sum of its proper divisors (1).

133261 is an equidigital number, since it uses as much as digits as its factorization.

133261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108, while the sum is 16.

The square root of 133261 is about 365.0493117375. The cubic root of 133261 is about 51.0780555359.

Adding to 133261 its reverse (162331), we get a palindrome (295592).

The spelling of 133261 in words is "one hundred thirty-three thousand, two hundred sixty-one".