137263097 has 2 divisors, whose sum is σ = 137263098. Its totient is φ = 137263096.

The previous prime is 137263079. The next prime is 137263111. The reversal of 137263097 is 790362731.

Together with previous prime (137263079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112869376 + 24393721 = 10624^2 + 4939^2 .

It is a cyclic number.

It is not a de Polignac number, because 137263097 - 2⁶ = 137263033 is a prime.

It is equal to p_7766183 and since 137263097 and 7766183 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137263097.

It is not a weakly prime, because it can be changed into another prime (137263037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68631548 + 68631549.

It is an arithmetic number, because the mean of its divisors is an integer number (68631549).

Almost surely, 2^137263097 is an apocalyptic number.

It is an amenable number.

137263097 is a deficient number, since it is larger than the sum of its proper divisors (1).

137263097 is an equidigital number, since it uses as much as digits as its factorization.

137263097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 137263097 is about 11715.9334668647. The cubic root of 137263097 is about 515.8434627724.

The spelling of 137263097 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, ninety-seven".