97635137 has 2 divisors, whose sum is σ = 97635138. Its totient is φ = 97635136.

The previous prime is 97635127. The next prime is 97635157. The reversal of 97635137 is 73153679.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92140801 + 5494336 = 9599^2 + 2344^2 .

It is a cyclic number.

It is not a de Polignac number, because 97635137 - 2¹⁰ = 97634113 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 97635094 and 97635103.

It is not a weakly prime, because it can be changed into another prime (97635107) 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, 48817568 + 48817569.

It is an arithmetic number, because the mean of its divisors is an integer number (48817569).

Almost surely, 2^97635137 is an apocalyptic number.

It is an amenable number.

97635137 is a deficient number, since it is larger than the sum of its proper divisors (1).

97635137 is an equidigital number, since it uses as much as digits as its factorization.

97635137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 119070, while the sum is 41.

The square root of 97635137 is about 9881.0493875904. The cubic root of 97635137 is about 460.4707483965.

The spelling of 97635137 in words is "ninety-seven million, six hundred thirty-five thousand, one hundred thirty-seven".