133097 has 2 divisors, whose sum is σ = 133098. Its totient is φ = 133096.

The previous prime is 133087. The next prime is 133103. The reversal of 133097 is 790331.

133097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 52441 = 284^2 + 229^2 .

It is an emirp because it is prime and its reverse (790331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133097 - 2⁶ = 133033 is a prime.

It is a super-2 number, since 2×133097² = 35429622818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (133087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66548 + 66549.

It is an arithmetic number, because the mean of its divisors is an integer number (66549).

2¹³³⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

133097 is a deficient number, since it is larger than the sum of its proper divisors (1).

133097 is an equidigital number, since it uses as much as digits as its factorization.

133097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 133097 is about 364.8246153976. The cubic root of 133097 is about 51.0570935645.

The spelling of 133097 in words is "one hundred thirty-three thousand, ninety-seven".