97727137 has 2 divisors, whose sum is σ = 97727138. Its totient is φ = 97727136.

The previous prime is 97727131. The next prime is 97727153. The reversal of 97727137 is 73172779.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97594641 + 132496 = 9879^2 + 364^2 .

It is an emirp because it is prime and its reverse (73172779) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 97727137 - 2⁷ = 97727009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97727093 and 97727102.

It is not a weakly prime, because it can be changed into another prime (97727131) 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, 48863568 + 48863569.

It is an arithmetic number, because the mean of its divisors is an integer number (48863569).

Almost surely, 2^97727137 is an apocalyptic number.

It is an amenable number.

97727137 is a deficient number, since it is larger than the sum of its proper divisors (1).

97727137 is an equidigital number, since it uses as much as digits as its factorization.

97727137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129654, while the sum is 43.

The square root of 97727137 is about 9885.7036674179. The cubic root of 97727137 is about 460.6153343554.

The spelling of 97727137 in words is "ninety-seven million, seven hundred twenty-seven thousand, one hundred thirty-seven".