90008400197 has 2 divisors, whose sum is σ = 90008400198. Its totient is φ = 90008400196.

The previous prime is 90008400191. The next prime is 90008400203. The reversal of 90008400197 is 79100480009.

It is a Cunningham number, because it is equal to 300014²+1.

It is a balanced prime because it is at equal distance from previous prime (90008400191) and next prime (90008400203).

It can be written as a sum of positive squares in only one way, i.e., 90008400196 + 1 = 300014^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 90008400197 - 2¹⁴ = 90008383813 is a prime.

It is a super-3 number, since 3×90008400197³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90008400197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90008400191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45004200098 + 45004200099.

It is an arithmetic number, because the mean of its divisors is an integer number (45004200099).

Almost surely, 2^90008400197 is an apocalyptic number.

It is an amenable number.

90008400197 is a deficient number, since it is larger than the sum of its proper divisors (1).

90008400197 is an equidigital number, since it uses as much as digits as its factorization.

90008400197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 90008400197 in words is "ninety billion, eight million, four hundred thousand, one hundred ninety-seven".