133697 has 2 divisors, whose sum is σ = 133698. Its totient is φ = 133696.

The previous prime is 133691. The next prime is 133709. The reversal of 133697 is 796331.

133697 is nontrivially palindromic in base 3.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83521 + 50176 = 289^2 + 224^2 .

It is a cyclic number.

It is not a de Polignac number, because 133697 - 2⁶ = 133633 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133697.

It is not a weakly prime, because it can be changed into another prime (133691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66848 + 66849.

It is an arithmetic number, because the mean of its divisors is an integer number (66849).

2¹³³⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

133697 is a deficient number, since it is larger than the sum of its proper divisors (1).

133697 is an equidigital number, since it uses as much as digits as its factorization.

133697 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 133697 is about 365.6460036702. The cubic root of 133697 is about 51.1337001950.

The spelling of 133697 in words is "one hundred thirty-three thousand, six hundred ninety-seven".