131608097 has 2 divisors, whose sum is σ = 131608098. Its totient is φ = 131608096.

The previous prime is 131608069. The next prime is 131608109. The reversal of 131608097 is 790806131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96845281 + 34762816 = 9841^2 + 5896^2 .

It is an emirp because it is prime and its reverse (790806131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131608097 is a prime.

It is a super-2 number, since 2×131608097² = 34641382391922818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131608007) 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, 65804048 + 65804049.

It is an arithmetic number, because the mean of its divisors is an integer number (65804049).

Almost surely, 2^131608097 is an apocalyptic number.

It is an amenable number.

131608097 is a deficient number, since it is larger than the sum of its proper divisors (1).

131608097 is an equidigital number, since it uses as much as digits as its factorization.

131608097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 131608097 is about 11472.0572261474. The cubic root of 131608097 is about 508.6599409152.

The spelling of 131608097 in words is "one hundred thirty-one million, six hundred eight thousand, ninety-seven".