131097257 has 2 divisors, whose sum is σ = 131097258. Its totient is φ = 131097256.

The previous prime is 131097227. The next prime is 131097259. The reversal of 131097257 is 752790131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121462441 + 9634816 = 11021^2 + 3104^2 .

It is a cyclic number.

It is not a de Polignac number, because 131097257 - 2⁶ = 131097193 is a prime.

Together with 131097259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131097259) 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, 65548628 + 65548629.

It is an arithmetic number, because the mean of its divisors is an integer number (65548629).

Almost surely, 2^131097257 is an apocalyptic number.

It is an amenable number.

131097257 is a deficient number, since it is larger than the sum of its proper divisors (1).

131097257 is an equidigital number, since it uses as much as digits as its factorization.

131097257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 131097257 is about 11449.7710457458. The cubic root of 131097257 is about 508.0009622918. Note that the first 3 decimals are identical.

The spelling of 131097257 in words is "one hundred thirty-one million, ninety-seven thousand, two hundred fifty-seven".