137085097 has 2 divisors, whose sum is σ = 137085098. Its totient is φ = 137085096.

The previous prime is 137085089. The next prime is 137085121. The reversal of 137085097 is 790580731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94887081 + 42198016 = 9741^2 + 6496^2 .

It is a cyclic number.

It is not a de Polignac number, because 137085097 - 2³ = 137085089 is a prime.

It is not a weakly prime, because it can be changed into another prime (137085397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68542548 + 68542549.

It is an arithmetic number, because the mean of its divisors is an integer number (68542549).

Almost surely, 2^137085097 is an apocalyptic number.

It is an amenable number.

137085097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137085097 is an equidigital number, since it uses as much as digits as its factorization.

137085097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 137085097 is about 11708.3345100830. The cubic root of 137085097 is about 515.6203878718.

The spelling of 137085097 in words is "one hundred thirty-seven million, eighty-five thousand, ninety-seven".