97800107 has 2 divisors, whose sum is σ = 97800108. Its totient is φ = 97800106.

The previous prime is 97800089. The next prime is 97800121. The reversal of 97800107 is 70100879.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 97800107 - 2²⁰ = 96751531 is a prime.

It is a super-3 number, since 3×97800107³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (97800137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48900053 + 48900054.

It is an arithmetic number, because the mean of its divisors is an integer number (48900054).

Almost surely, 2^97800107 is an apocalyptic number.

97800107 is a deficient number, since it is larger than the sum of its proper divisors (1).

97800107 is an equidigital number, since it uses as much as digits as its factorization.

97800107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 97800107 is about 9889.3936618986. The cubic root of 97800107 is about 460.7299485079.

The spelling of 97800107 in words is "ninety-seven million, eight hundred thousand, one hundred seven".