133967 has 2 divisors, whose sum is σ = 133968. Its totient is φ = 133966.

The previous prime is 133963. The next prime is 133979. The reversal of 133967 is 769331.

133967 is nontrivially palindromic in base 11.

133967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

133967 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 133967 - 2² = 133963 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66983 + 66984.

It is an arithmetic number, because the mean of its divisors is an integer number (66984).

2¹³³⁹⁶⁷ is an apocalyptic number.

133967 is a deficient number, since it is larger than the sum of its proper divisors (1).

133967 is an equidigital number, since it uses as much as digits as its factorization.

133967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 29.

The square root of 133967 is about 366.0150270139. The cubic root of 133967 is about 51.1680984131.

The spelling of 133967 in words is "one hundred thirty-three thousand, nine hundred sixty-seven".