133597 has 2 divisors, whose sum is σ = 133598. Its totient is φ = 133596.

The previous prime is 133583. The next prime is 133631. The reversal of 133597 is 795331.

133597 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.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 8281 = 354^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 133597 - 2¹⁵ = 100829 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66798 + 66799.

It is an arithmetic number, because the mean of its divisors is an integer number (66799).

2¹³³⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

133597 is a deficient number, since it is larger than the sum of its proper divisors (1).

133597 is an equidigital number, since it uses as much as digits as its factorization.

133597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2835, while the sum is 28.

The square root of 133597 is about 365.5092338095. The cubic root of 133597 is about 51.1209483621.

It can be divided in two parts, 13359 and 7, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 133597 in words is "one hundred thirty-three thousand, five hundred ninety-seven".