97800137 has 2 divisors, whose sum is σ = 97800138. Its totient is φ = 97800136.

The previous prime is 97800121. The next prime is 97800149. The reversal of 97800137 is 73100879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87965641 + 9834496 = 9379^2 + 3136^2 .

It is a cyclic number.

It is not a de Polignac number, because 97800137 - 2⁴ = 97800121 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 97800097 and 97800106.

It is not a weakly prime, because it can be changed into another prime (97800107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48900068 + 48900069.

It is an arithmetic number, because the mean of its divisors is an integer number (48900069).

Almost surely, 2^97800137 is an apocalyptic number.

It is an amenable number.

97800137 is a deficient number, since it is larger than the sum of its proper divisors (1).

97800137 is an equidigital number, since it uses as much as digits as its factorization.

97800137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 97800137 is about 9889.3951786750. The cubic root of 97800137 is about 460.7299956172.

The spelling of 97800137 in words is "ninety-seven million, eight hundred thousand, one hundred thirty-seven".