97516305 has 60 divisors (see below), whose sum is σ = 180244020. Its totient is φ = 50435136.

The previous prime is 97516291. The next prime is 97516313. The reversal of 97516305 is 50361579.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51710481 + 45805824 = 7191^2 + 6768^2 .

It is not a de Polignac number, because 97516305 - 2¹¹ = 97514257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97516305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 894591 + ... + 894699.

It is an arithmetic number, because the mean of its divisors is an integer number (3004067).

Almost surely, 2^97516305 is an apocalyptic number.

It is an amenable number.

97516305 is a deficient number, since it is larger than the sum of its proper divisors (82727715).

97516305 is a wasteful number, since it uses less digits than its factorization.

97516305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 97516305 is about 9875.0344303197. The cubic root of 97516305 is about 460.2838591403.

The spelling of 97516305 in words is "ninety-seven million, five hundred sixteen thousand, three hundred five".