97135133 has 2 divisors, whose sum is σ = 97135134. Its totient is φ = 97135132.

The previous prime is 97135099. The next prime is 97135147. The reversal of 97135133 is 33153179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96098809 + 1036324 = 9803^2 + 1018^2 .

It is a cyclic number.

It is not a de Polignac number, because 97135133 - 2⁶ = 97135069 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 97135133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97135153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48567566 + 48567567.

It is an arithmetic number, because the mean of its divisors is an integer number (48567567).

Almost surely, 2^97135133 is an apocalyptic number.

It is an amenable number.

97135133 is a deficient number, since it is larger than the sum of its proper divisors (1).

97135133 is an equidigital number, since it uses as much as digits as its factorization.

97135133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 32.

The square root of 97135133 is about 9855.7157528005. The cubic root of 97135133 is about 459.6833564408.

The spelling of 97135133 in words is "ninety-seven million, one hundred thirty-five thousand, one hundred thirty-three".