133605361 has 2 divisors, whose sum is σ = 133605362. Its totient is φ = 133605360.

The previous prime is 133605313. The next prime is 133605377. The reversal of 133605361 is 163506331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83832336 + 49773025 = 9156^2 + 7055^2 .

It is a cyclic number.

It is not a de Polignac number, because 133605361 - 2²³ = 125216753 is a prime.

It is not a weakly prime, because it can be changed into another prime (133605301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66802680 + 66802681.

It is an arithmetic number, because the mean of its divisors is an integer number (66802681).

Almost surely, 2^133605361 is an apocalyptic number.

It is an amenable number.

133605361 is a deficient number, since it is larger than the sum of its proper divisors (1).

133605361 is an equidigital number, since it uses as much as digits as its factorization.

133605361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 133605361 is about 11558.7785254325. The cubic root of 133605361 is about 511.2201478655.

It can be divided in two parts, 13360 and 5361, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 133605361 in words is "one hundred thirty-three million, six hundred five thousand, three hundred sixty-one".