133408973 has 2 divisors, whose sum is σ = 133408974. Its totient is φ = 133408972.

The previous prime is 133408967. The next prime is 133409009. The reversal of 133408973 is 379804331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129095044 + 4313929 = 11362^2 + 2077^2 .

It is an emirp because it is prime and its reverse (379804331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133408973 - 2⁶ = 133408909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133408573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66704486 + 66704487.

It is an arithmetic number, because the mean of its divisors is an integer number (66704487).

Almost surely, 2^133408973 is an apocalyptic number.

It is an amenable number.

133408973 is a deficient number, since it is larger than the sum of its proper divisors (1).

133408973 is an equidigital number, since it uses as much as digits as its factorization.

133408973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 133408973 is about 11550.2802130511. The cubic root of 133408973 is about 510.9695423168.

The spelling of 133408973 in words is "one hundred thirty-three million, four hundred eight thousand, nine hundred seventy-three".