133117967 has 2 divisors, whose sum is σ = 133117968. Its totient is φ = 133117966.

The previous prime is 133117903. The next prime is 133117979. The reversal of 133117967 is 769711331.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 133117967 - 2⁶ = 133117903 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133117967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133117267) 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, 66558983 + 66558984.

It is an arithmetic number, because the mean of its divisors is an integer number (66558984).

Almost surely, 2^133117967 is an apocalyptic number.

133117967 is a deficient number, since it is larger than the sum of its proper divisors (1).

133117967 is an equidigital number, since it uses as much as digits as its factorization.

133117967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23814, while the sum is 38.

The square root of 133117967 is about 11537.6759791563. The cubic root of 133117967 is about 510.5977446105.

The spelling of 133117967 in words is "one hundred thirty-three million, one hundred seventeen thousand, nine hundred sixty-seven".